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== Introduction == == Introduction ==
The SAGE [http://www.sagemath.org:9001/graph Graph Theory Project] aims to implement Graph objects and algorithms in ["SAGE"]. The main people working on this project are Emily Kirkman and Robert Miller.
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The SAGE [http://sage.math.washington.edu:9001/graph Graph Theory Project] aims to implement Graph objects and algorithms in ["SAGE"]. The programs we are currently benchmarking are GRAPE, Magma, NetworkX, Mathematica (the optional Combinatorica package), and Maple. We will post our results here. As always, we love [mailto:[email protected] feedback!]
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The main people working on this project are Emily Kirkman, Robert Miller and Bobby Moretti.

We will post results here as we get them. And as always, we love feedback!

== Initial Benchmarks ==
 . Our initial tests are designed to compare the constructions and very basic functionality found in our [http://sage.math.washington.edu:9001/graph_survey survey of existing software]. At this stage in the game, we are testing to find the best way to construct graph objects in ["SAGE"]. For the first round of benchmarking we will only consider simple undirected graphs, and we will be comparing MAGMA, Mathematica (with Combinatorica), Maple, NetworkX, GRAPE, and nauty.

=== Generic Constructor ===
 * Create a graph with n nodes and no edges (sparse and dense, if supported)

=== Edge Storage ===
 * Fill in and then delete all edges one by one (sparse and dense, if supported)

=== Specific Constructors ===
 * Create a complete graph on n nodes
 * Create a complete bipartite graph on n nodes
 * Create a cycle on n nodes

=== Basic Algorithms ===
 . From a given database of graphs (sparse and dense, undirected), we will compute
 * Connectivity		 == Oct 19 Benchmarks ==
=== Algorithms ===
 . A database of 15 random* graphs on 100 vertices were used to time the following functions.
 . *- The distribution was G(n,p), with p the probability each edge is independently included and n the number of vertices. Our p was 0.45.
 * Connectivity Check
 * Component List
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 * Chromatic number  * Planarity
=== Results ===
 * Testing "Connectivity" on 100 verts
  1. Grape
   . Constructing Grape graphs...DONE.
   . Timing Grape's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 0...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 1...DONE. Wall: 0.0445, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 2...DONE. Wall: 0.006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 3...DONE. Wall: 0.0113, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 4...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 5...DONE. Wall: 0.0061, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 6...DONE. Wall: 0.0105, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 7...DONE. Wall: 0.0395, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 8...DONE. Wall: 0.0101, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 9...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 10...DONE. Wall: 0.006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 11...DONE. Wall: 0.0102, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 12...DONE. Wall: 0.0061, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 13...DONE. Wall: 0.044, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
    * Timing graph number 14...DONE. Wall: 0.0064, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
   . Results: average wall time- 0.0147 : average cpu time- 0.002
  1. Sparse Magma
   . Constructing Sparse Magma graphs...DONE.
   . Timing Sparse Magma's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 0...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 2...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 3...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 5...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 6...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 7...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 8...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 9...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 12...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 13...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
    * Timing graph number 14...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
   . Results: average wall time- 0.0006 : average cpu time- 0.0004
  1. Dense Magma
   . Constructing Dense Magma graphs...DONE.
   . Timing Dense Magma's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 0...DONE. Wall: 0.0007, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 2...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 3...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 4...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 5...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 6...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 7...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 8...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 9...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 12...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 13...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 14...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
   . Results: average wall time- 0.0006 : average cpu time- 0.0007
  1. NetworkX
   . Constructing NetworkX graphs...DONE.
   . Timing NetworkX's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 0...DONE. Wall: 0.0046, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 1...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 2...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 3...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 4...DONE. Wall: 0.0023, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 5...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 6...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 7...DONE. Wall: 0.0023, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 8...DONE. Wall: 0.0022, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 9...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 10...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 11...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 12...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 13...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
    * Timing graph number 14...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
   . Results: average wall time- 0.0024 : average cpu time- 0.0024
  1. Combinatorica
   . Constructing Combinatorica graphs...DONE.
   . Timing Combinatorica's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:17 +0000
    * Timing graph number 0...DONE. Wall: 0.0485, CPU: 0.0 : Thu, 19 Oct 2006 14:36:17 +0000
    * Timing graph number 1...DONE. Wall: 0.0788, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
    * Timing graph number 2...DONE. Wall: 0.1148, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
    * Timing graph number 3...DONE. Wall: 0.0836, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
    * Timing graph number 4...DONE. Wall: 0.1153, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
    * Timing graph number 5...DONE. Wall: 0.0819, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
    * Timing graph number 6...DONE. Wall: 0.082, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:19 +0000
    * Timing graph number 7...DONE. Wall: 0.1169, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
    * Timing graph number 8...DONE. Wall: 0.0807, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
    * Timing graph number 9...DONE. Wall: 0.1157, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
    * Timing graph number 10...DONE. Wall: 0.0819, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
    * Timing graph number 11...DONE. Wall: 0.1149, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
    * Timing graph number 12...DONE. Wall: 0.0823, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:21 +0000
    * Timing graph number 13...DONE. Wall: 0.1152, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
    * Timing graph number 14...DONE. Wall: 0.0818, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
   . Results: average wall time- 0.0929 : average cpu time- 0.0004
 * Testing "Component List" on 100 verts
  1. Grape
   . Constructing Grape graphs...DONE.
   . Timing Grape's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 0...DONE. Wall: 0.0116, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 1...DONE. Wall: 0.0066, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 2...DONE. Wall: 0.007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 3...DONE. Wall: 0.0076, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 4...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 5...DONE. Wall: 0.0067, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 6...DONE. Wall: 0.0074, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 7...DONE. Wall: 0.0062, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 8...DONE. Wall: 0.0065, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 9...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 10...DONE. Wall: 0.0068, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 11...DONE. Wall: 0.0068, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 12...DONE. Wall: 0.0074, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 13...DONE. Wall: 0.0071, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
    * Timing graph number 14...DONE. Wall: 0.0071, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
   . Results: average wall time- 0.0072 : average cpu time- 0.0009
  1. Sparse Magma
   . Constructing Sparse Magma graphs...DONE.
   . Timing Sparse Magma's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 5...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
   . Results: average wall time- 0.0007 : average cpu time- 0.0007
  1. Dense Magma
   . Constructing Dense Magma graphs...DONE.
   . Timing Dense Magma's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
   . Results: average wall time- 0.0007 : average cpu time- 0.0
  1. NetworkX
   . Constructing NetworkX graphs...DONE.
   . Timing NetworkX's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 0...DONE. Wall: 0.0017, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 1...DONE. Wall: 0.0015, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 2...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 3...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 4...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 5...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 6...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 7...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 8...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 9...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 10...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 11...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 12...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 13...DONE. Wall: 0.0015, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
    * Timing graph number 14...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
   . Results: average wall time- 0.0014 : average cpu time- 0.0016
  1. Combinatorica
   . Constructing Combinatorica graphs...DONE.
   . Timing Combinatorica's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:24 +0000
    * Timing graph number 0...DONE. Wall: 0.0486, CPU: 0.0 : Thu, 19 Oct 2006 14:36:24 +0000
    * Timing graph number 1...DONE. Wall: 0.0489, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
    * Timing graph number 2...DONE. Wall: 0.0482, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
    * Timing graph number 3...DONE. Wall: 0.0491, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:25 +0000
    * Timing graph number 4...DONE. Wall: 0.0815, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
    * Timing graph number 5...DONE. Wall: 0.1162, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
    * Timing graph number 6...DONE. Wall: 0.0816, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
    * Timing graph number 7...DONE. Wall: 0.0823, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:26 +0000
    * Timing graph number 8...DONE. Wall: 0.115, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
    * Timing graph number 9...DONE. Wall: 0.0825, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
    * Timing graph number 10...DONE. Wall: 0.1163, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
    * Timing graph number 11...DONE. Wall: 0.0818, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
    * Timing graph number 12...DONE. Wall: 0.1152, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
    * Timing graph number 13...DONE. Wall: 0.0818, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:28 +0000
    * Timing graph number 14...DONE. Wall: 0.1142, CPU: 0.0 : Thu, 19 Oct 2006 14:36:28 +0000
   . Results: average wall time- 0.0842 : average cpu time- 0.0007
  1. Maple
   . Constructing Maple graphs...DONE.
   . Timing Maple's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 0...DONE. Wall: 0.0093, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 1...DONE. Wall: 0.0424, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 2...DONE. Wall: 0.0577, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 3...DONE. Wall: 0.043, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 4...DONE. Wall: 0.0094, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 5...DONE. Wall: 0.0423, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 6...DONE. Wall: 0.0089, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:41 +0000
    * Timing graph number 7...DONE. Wall: 0.0427, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 8...DONE. Wall: 0.0092, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 9...DONE. Wall: 0.0507, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 10...DONE. Wall: 0.0429, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 11...DONE. Wall: 0.0095, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 12...DONE. Wall: 0.0432, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 13...DONE. Wall: 0.0091, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
    * Timing graph number 14...DONE. Wall: 0.0425, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
   . Results: average wall time- 0.0309 : average cpu time- 0.0011
 * Testing "Diameter" on 100 verts
  1. Grape
   . Constructing Grape graphs...DONE.
   . Timing Grape's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:43 +0000
    * Timing graph number 0...DONE. Wall: 0.1573, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:44 +0000
    * Timing graph number 1...DONE. Wall: 0.156, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:44 +0000
    * Timing graph number 2...DONE. Wall: 0.1518, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:45 +0000
    * Timing graph number 3...DONE. Wall: 0.1568, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:45 +0000
    * Timing graph number 4...DONE. Wall: 0.1536, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:46 +0000
    * Timing graph number 5...DONE. Wall: 0.16, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:46 +0000
    * Timing graph number 6...DONE. Wall: 0.1553, CPU: 0.01 : Thu, 19 Oct 2006 14:36:46 +0000
    * Timing graph number 7...DONE. Wall: 0.1611, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:47 +0000
    * Timing graph number 8...DONE. Wall: 0.1563, CPU: 0.01 : Thu, 19 Oct 2006 14:36:47 +0000
    * Timing graph number 9...DONE. Wall: 0.1579, CPU: 0.01 : Thu, 19 Oct 2006 14:36:48 +0000
    * Timing graph number 10...DONE. Wall: 0.1593, CPU: 0.01 : Thu, 19 Oct 2006 14:36:48 +0000
    * Timing graph number 11...DONE. Wall: 0.1586, CPU: 0.01 : Thu, 19 Oct 2006 14:36:49 +0000
    * Timing graph number 12...DONE. Wall: 0.1584, CPU: 0.01 : Thu, 19 Oct 2006 14:36:49 +0000
    * Timing graph number 13...DONE. Wall: 0.1559, CPU: 0.01 : Thu, 19 Oct 2006 14:36:50 +0000
    * Timing graph number 14...DONE. Wall: 0.1568, CPU: 0.0133 : Thu, 19 Oct 2006 14:36:50 +0000
   . Results: average wall time- 0.157 : average cpu time- 0.0084
  1. Sparse Magma
   . Constructing Sparse Magma graphs...DONE.
   . Timing Sparse Magma's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 0...DONE. Wall: 0.0012, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 1...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 2...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 3...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 4...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 5...DONE. Wall: 0.0009, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 6...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 7...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 8...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 10...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 11...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 12...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 13...DONE. Wall: 0.001, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 14...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
   . Results: average wall time- 0.0009 : average cpu time- 0.0004
  1. Dense Magma
   . Constructing Dense Magma graphs...DONE.
   . Timing Dense Magma's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 0...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 1...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 2...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 3...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 4...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 5...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 6...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 7...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 8...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 10...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 11...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 12...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 13...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 14...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
   . Results: average wall time- 0.0008 : average cpu time- 0.0004
  1. NetworkX
   . Constructing NetworkX graphs...DONE.
   . Timing NetworkX's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
    * Timing graph number 0...DONE. Wall: 0.1261, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
    * Timing graph number 1...DONE. Wall: 0.1272, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
    * Timing graph number 2...DONE. Wall: 0.1256, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
    * Timing graph number 3...DONE. Wall: 0.1265, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:53 +0000
    * Timing graph number 4...DONE. Wall: 0.1266, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:53 +0000
    * Timing graph number 5...DONE. Wall: 0.1275, CPU: 0.13 : Thu, 19 Oct 2006 14:36:53 +0000
    * Timing graph number 6...DONE. Wall: 0.1265, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:54 +0000
    * Timing graph number 7...DONE. Wall: 0.127, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:54 +0000
    * Timing graph number 8...DONE. Wall: 0.1253, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:55 +0000
    * Timing graph number 9...DONE. Wall: 0.1271, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:55 +0000
    * Timing graph number 10...DONE. Wall: 0.1268, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:55 +0000
    * Timing graph number 11...DONE. Wall: 0.1262, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:56 +0000
    * Timing graph number 12...DONE. Wall: 0.1254, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:56 +0000
    * Timing graph number 13...DONE. Wall: 0.1258, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:56 +0000
    * Timing graph number 14...DONE. Wall: 0.1247, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:57 +0000
   . Results: average wall time- 0.1263 : average cpu time- 0.1262
  1. Combinatorica
   . Constructing Combinatorica graphs...DONE.
   . Timing Combinatorica's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:58 +0000
    * Timing graph number 0...DONE. Wall: 5.1816, CPU: 0.0 : Thu, 19 Oct 2006 14:37:13 +0000
    * Timing graph number 1...DONE. Wall: 5.2109, CPU: 0.0 : Thu, 19 Oct 2006 14:37:29 +0000
    * Timing graph number 2...DONE. Wall: 5.1302, CPU: 0.0033 : Thu, 19 Oct 2006 14:37:44 +0000
    * Timing graph number 3...DONE. Wall: 5.1968, CPU: 0.0033 : Thu, 19 Oct 2006 14:38:00 +0000
    * Timing graph number 4...DONE. Wall: 5.2016, CPU: 0.0 : Thu, 19 Oct 2006 14:38:16 +0000
    * Timing graph number 5...DONE. Wall: 5.5481, CPU: 0.0 : Thu, 19 Oct 2006 14:38:32 +0000
    * Timing graph number 6...DONE. Wall: 5.2037, CPU: 0.0 : Thu, 19 Oct 2006 14:38:48 +0000
    * Timing graph number 7...DONE. Wall: 5.2333, CPU: 0.0 : Thu, 19 Oct 2006 14:39:04 +0000
    * Timing graph number 8...DONE. Wall: 5.0587, CPU: 0.0033 : Thu, 19 Oct 2006 14:39:19 +0000
    * Timing graph number 9...DONE. Wall: 5.2813, CPU: 0.0 : Thu, 19 Oct 2006 14:39:35 +0000
    * Timing graph number 10...DONE. Wall: 5.2476, CPU: 0.0 : Thu, 19 Oct 2006 14:39:50 +0000
    * Timing graph number 11...DONE. Wall: 5.192, CPU: 0.0 : Thu, 19 Oct 2006 14:40:06 +0000
    * Timing graph number 12...DONE. Wall: 5.1713, CPU: 0.0 : Thu, 19 Oct 2006 14:40:21 +0000
    * Timing graph number 13...DONE. Wall: 5.1719, CPU: 0.0 : Thu, 19 Oct 2006 14:40:37 +0000
    * Timing graph number 14...DONE. Wall: 5.1415, CPU: 0.0033 : Thu, 19 Oct 2006 14:40:52 +0000
   . Results: average wall time- 5.2114 : average cpu time- 0.0009
  1. Maple
   . Constructing Maple graphs...DONE.
   . Timing Maple's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:41:06 +0000
    * Timing graph number 0...DONE. Wall: 22.7694, CPU: 0.0 : Thu, 19 Oct 2006 14:42:14 +0000
    * Timing graph number 1...DONE. Wall: 22.451, CPU: 0.0 : Thu, 19 Oct 2006 14:43:21 +0000
    * Timing graph number 2...DONE. Wall: 22.3481, CPU: 0.0 : Thu, 19 Oct 2006 14:44:28 +0000
    * Timing graph number 3...DONE. Wall: 22.7295, CPU: 0.0033 : Thu, 19 Oct 2006 14:45:37 +0000
    * Timing graph number 4...DONE. Wall: 19.3066, CPU: 0.0 : Thu, 19 Oct 2006 14:46:35 +0000
    * Timing graph number 5...DONE. Wall: 19.3794, CPU: 0.0 : Thu, 19 Oct 2006 14:47:33 +0000
    * Timing graph number 6...DONE. Wall: 21.9165, CPU: 0.0033 : Thu, 19 Oct 2006 14:48:38 +0000
    * Timing graph number 7...DONE. Wall: 19.9926, CPU: 0.0 : Thu, 19 Oct 2006 14:49:38 +0000
    * Timing graph number 8...DONE. Wall: 18.1134, CPU: 0.0033 : Thu, 19 Oct 2006 14:50:33 +0000
    * Timing graph number 9...DONE. Wall: 20.1315, CPU: 0.0 : Thu, 19 Oct 2006 14:51:33 +0000
    * Timing graph number 10...DONE. Wall: 14.662, CPU: 0.0 : Thu, 19 Oct 2006 14:52:17 +0000
    * Timing graph number 11...DONE. Wall: 11.2313, CPU: 0.0067 : Thu, 19 Oct 2006 14:52:51 +0000
    * Timing graph number 12...DONE. Wall: 16.8578, CPU: 0.0 : Thu, 19 Oct 2006 14:53:41 +0000
    * Timing graph number 13...DONE. Wall: 19.9063, CPU: 0.0 : Thu, 19 Oct 2006 14:54:41 +0000
    * Timing graph number 14...DONE. Wall: 21.0883, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:44 +0000
   . Results: average wall time- 19.5256 : average cpu time- 0.0013
 * Testing "Girth" on 100 verts
  1. Grape
   . Constructing Grape graphs...DONE.
   . Timing Grape's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 0...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 1...DONE. Wall: 0.0056, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 2...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 3...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 4...DONE. Wall: 0.0058, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 5...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 6...DONE. Wall: 0.0061, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 7...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 8...DONE. Wall: 0.0058, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 9...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 10...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 11...DONE. Wall: 0.0063, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 12...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 13...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
    * Timing graph number 14...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
   . Results: average wall time- 0.0043 : average cpu time- 0.0004
  1. Sparse Magma
   . Constructing Sparse Magma graphs...DONE.
   . Timing Sparse Magma's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 0...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 14...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
   . Results: average wall time- 0.0007 : average cpu time- 0.0002
  1. Dense Magma
   . Constructing Dense Magma graphs...DONE.
   . Timing Dense Magma's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
    * Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
   . Results: average wall time- 0.0007 : average cpu time- 0.0004
  1. Combinatorica
   . Constructing Combinatorica graphs...DONE.
   . Timing Combinatorica's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:47 +0000
    * Timing graph number 0...DONE. Wall: 0.226, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:48 +0000
    * Timing graph number 1...DONE. Wall: 0.2071, CPU: 0.0 : Thu, 19 Oct 2006 14:55:48 +0000
    * Timing graph number 2...DONE. Wall: 0.2025, CPU: 0.0 : Thu, 19 Oct 2006 14:55:49 +0000
    * Timing graph number 3...DONE. Wall: 0.2037, CPU: 0.0 : Thu, 19 Oct 2006 14:55:49 +0000
    * Timing graph number 4...DONE. Wall: 0.2021, CPU: 0.0 : Thu, 19 Oct 2006 14:55:50 +0000
    * Timing graph number 5...DONE. Wall: 0.2056, CPU: 0.0067 : Thu, 19 Oct 2006 14:55:51 +0000
    * Timing graph number 6...DONE. Wall: 0.1991, CPU: 0.0 : Thu, 19 Oct 2006 14:55:51 +0000
    * Timing graph number 7...DONE. Wall: 0.204, CPU: 0.0 : Thu, 19 Oct 2006 14:55:52 +0000
    * Timing graph number 8...DONE. Wall: 0.1976, CPU: 0.0 : Thu, 19 Oct 2006 14:55:52 +0000
    * Timing graph number 9...DONE. Wall: 0.2053, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:53 +0000
    * Timing graph number 10...DONE. Wall: 0.2052, CPU: 0.0 : Thu, 19 Oct 2006 14:55:54 +0000
    * Timing graph number 11...DONE. Wall: 0.2074, CPU: 0.0 : Thu, 19 Oct 2006 14:55:54 +0000
    * Timing graph number 12...DONE. Wall: 0.2045, CPU: 0.0 : Thu, 19 Oct 2006 14:55:55 +0000
    * Timing graph number 13...DONE. Wall: 0.2073, CPU: 0.0 : Thu, 19 Oct 2006 14:55:56 +0000
    * Timing graph number 14...DONE. Wall: 0.1947, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:56 +0000
   . Results: average wall time- 0.2048 : average cpu time- 0.0011
  1. Maple
   . Constructing Maple graphs...DONE.
   . Timing Maple's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:56:09 +0000
    * Timing graph number 0...DONE. Wall: 0.3105, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:10 +0000
    * Timing graph number 1...DONE. Wall: 0.2526, CPU: 0.0 : Thu, 19 Oct 2006 14:56:11 +0000
    * Timing graph number 2...DONE. Wall: 0.2719, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:11 +0000
    * Timing graph number 3...DONE. Wall: 0.3053, CPU: 0.0 : Thu, 19 Oct 2006 14:56:12 +0000
    * Timing graph number 4...DONE. Wall: 0.3111, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:13 +0000
    * Timing graph number 5...DONE. Wall: 0.3105, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:14 +0000
    * Timing graph number 6...DONE. Wall: 0.3097, CPU: 0.0 : Thu, 19 Oct 2006 14:56:15 +0000
    * Timing graph number 7...DONE. Wall: 0.3118, CPU: 0.0 : Thu, 19 Oct 2006 14:56:16 +0000
    * Timing graph number 8...DONE. Wall: 0.3108, CPU: 0.0 : Thu, 19 Oct 2006 14:56:17 +0000
    * Timing graph number 9...DONE. Wall: 0.3115, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:18 +0000
    * Timing graph number 10...DONE. Wall: 0.3071, CPU: 0.0 : Thu, 19 Oct 2006 14:56:19 +0000
    * Timing graph number 11...DONE. Wall: 0.3131, CPU: 0.0 : Thu, 19 Oct 2006 14:56:20 +0000
    * Timing graph number 12...DONE. Wall: 0.3119, CPU: 0.0 : Thu, 19 Oct 2006 14:56:21 +0000
    * Timing graph number 13...DONE. Wall: 0.3091, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:22 +0000
    * Timing graph number 14...DONE. Wall: 0.3104, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
   . Results: average wall time- 0.3038 : average cpu time- 0.0013
 * Testing "Planarity" on 100 verts
  1. Sparse Magma
   . Constructing Sparse Magma graphs...DONE.
   . Timing Sparse Magma's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 0...DONE. Wall: 0.003, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 1...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 2...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 3...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 4...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 5...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 6...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 7...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 8...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 9...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 10...DONE. Wall: 0.0028, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 11...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 12...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 13...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 14...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
   . Results: average wall time- 0.0028 : average cpu time- 0.0004
  1. Dense Magma
   . Constructing Dense Magma graphs...DONE.
   . Timing Dense Magma's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 0...DONE. Wall: 0.003, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 1...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 2...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 3...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 4...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
    * Timing graph number 5...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 6...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 7...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 8...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 9...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 10...DONE. Wall: 0.0029, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 11...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 12...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 13...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
    * Timing graph number 14...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
   . Results: average wall time- 0.0029 : average cpu time- 0.0004
  1. Combinatorica
   . Constructing Combinatorica graphs...DONE.
   . Timing Combinatorica's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:25 +0000
    * Timing graph number 0...DONE. Wall: 0.3201, CPU: 0.0 : Thu, 19 Oct 2006 14:56:26 +0000
    * Timing graph number 1...DONE. Wall: 0.5235, CPU: 0.0 : Thu, 19 Oct 2006 14:56:27 +0000
    * Timing graph number 2...DONE. Wall: 0.4845, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:29 +0000
    * Timing graph number 3...DONE. Wall: 0.5233, CPU: 0.0 : Thu, 19 Oct 2006 14:56:30 +0000
    * Timing graph number 4...DONE. Wall: 0.5246, CPU: 0.0 : Thu, 19 Oct 2006 14:56:32 +0000
    * Timing graph number 5...DONE. Wall: 0.5275, CPU: 0.0067 : Thu, 19 Oct 2006 14:56:33 +0000
    * Timing graph number 6...DONE. Wall: 0.4925, CPU: 0.0 : Thu, 19 Oct 2006 14:56:35 +0000
    * Timing graph number 7...DONE. Wall: 0.5299, CPU: 0.0 : Thu, 19 Oct 2006 14:56:36 +0000
    * Timing graph number 8...DONE. Wall: 0.5221, CPU: 0.0 : Thu, 19 Oct 2006 14:56:38 +0000
    * Timing graph number 9...DONE. Wall: 0.5298, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:40 +0000
    * Timing graph number 10...DONE. Wall: 0.5294, CPU: 0.0 : Thu, 19 Oct 2006 14:56:41 +0000
    * Timing graph number 11...DONE. Wall: 0.4932, CPU: 0.0 : Thu, 19 Oct 2006 14:56:43 +0000
    * Timing graph number 12...DONE. Wall: 0.5268, CPU: 0.0 : Thu, 19 Oct 2006 14:56:44 +0000
    * Timing graph number 13...DONE. Wall: 0.5261, CPU: 0.0 : Thu, 19 Oct 2006 14:56:46 +0000
    * Timing graph number 14...DONE. Wall: 0.5213, CPU: 0.0 : Thu, 19 Oct 2006 14:56:47 +0000
   . Results: average wall time- 0.505 : average cpu time- 0.0009

TableOfContents

Introduction

The SAGE [http://www.sagemath.org:9001/graph Graph Theory Project] aims to implement Graph objects and algorithms in ["SAGE"]. The main people working on this project are Emily Kirkman and Robert Miller.

The programs we are currently benchmarking are GRAPE, Magma, NetworkX, Mathematica (the optional Combinatorica package), and Maple. We will post our results here. As always, we love [mailto:[email protected] feedback!]

Oct 19 Benchmarks

Algorithms

  • A database of 15 random* graphs on 100 vertices were used to time the following functions.
  • *- The distribution was G(n,p), with p the probability each edge is independently included and n the number of vertices. Our p was 0.45.
  • Connectivity Check
  • Component List
  • Diameter
  • Girth
  • Planarity

Results

  • Testing "Connectivity" on 100 verts
    1. Grape
      • Constructing Grape graphs...DONE.
      • Timing Grape's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 0...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 1...DONE. Wall: 0.0445, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 2...DONE. Wall: 0.006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 3...DONE. Wall: 0.0113, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 4...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 5...DONE. Wall: 0.0061, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 6...DONE. Wall: 0.0105, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 7...DONE. Wall: 0.0395, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 8...DONE. Wall: 0.0101, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 9...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 10...DONE. Wall: 0.006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 11...DONE. Wall: 0.0102, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 12...DONE. Wall: 0.0061, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 13...DONE. Wall: 0.044, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:12 +0000
        • Timing graph number 14...DONE. Wall: 0.0064, CPU: 0.0 : Thu, 19 Oct 2006 14:36:12 +0000
      • Results: average wall time- 0.0147 : average cpu time- 0.002
    2. Sparse Magma
      • Constructing Sparse Magma graphs...DONE.
      • Timing Sparse Magma's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 0...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 2...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 3...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 5...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 6...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 7...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 8...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 9...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 12...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 13...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
        • Timing graph number 14...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:14 +0000
      • Results: average wall time- 0.0006 : average cpu time- 0.0004
    3. Dense Magma
      • Constructing Dense Magma graphs...DONE.
      • Timing Dense Magma's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 0...DONE. Wall: 0.0007, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 2...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 3...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 4...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 5...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 6...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 7...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 8...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 9...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 12...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 13...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 14...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
      • Results: average wall time- 0.0006 : average cpu time- 0.0007
    4. NetworkX
      • Constructing NetworkX graphs...DONE.
      • Timing NetworkX's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 0...DONE. Wall: 0.0046, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 1...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 2...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 3...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 4...DONE. Wall: 0.0023, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 5...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 6...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 7...DONE. Wall: 0.0023, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 8...DONE. Wall: 0.0022, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 9...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 10...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 11...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 12...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 13...DONE. Wall: 0.0023, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:15 +0000
        • Timing graph number 14...DONE. Wall: 0.0022, CPU: 0.0 : Thu, 19 Oct 2006 14:36:15 +0000
      • Results: average wall time- 0.0024 : average cpu time- 0.0024
    5. Combinatorica
      • Constructing Combinatorica graphs...DONE.
      • Timing Combinatorica's Connectivity function ( 100 verts ) : Thu, 19 Oct 2006 14:36:17 +0000
        • Timing graph number 0...DONE. Wall: 0.0485, CPU: 0.0 : Thu, 19 Oct 2006 14:36:17 +0000
        • Timing graph number 1...DONE. Wall: 0.0788, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
        • Timing graph number 2...DONE. Wall: 0.1148, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
        • Timing graph number 3...DONE. Wall: 0.0836, CPU: 0.0 : Thu, 19 Oct 2006 14:36:18 +0000
        • Timing graph number 4...DONE. Wall: 0.1153, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
        • Timing graph number 5...DONE. Wall: 0.0819, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
        • Timing graph number 6...DONE. Wall: 0.082, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:19 +0000
        • Timing graph number 7...DONE. Wall: 0.1169, CPU: 0.0 : Thu, 19 Oct 2006 14:36:19 +0000
        • Timing graph number 8...DONE. Wall: 0.0807, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
        • Timing graph number 9...DONE. Wall: 0.1157, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
        • Timing graph number 10...DONE. Wall: 0.0819, CPU: 0.0 : Thu, 19 Oct 2006 14:36:20 +0000
        • Timing graph number 11...DONE. Wall: 0.1149, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
        • Timing graph number 12...DONE. Wall: 0.0823, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:21 +0000
        • Timing graph number 13...DONE. Wall: 0.1152, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
        • Timing graph number 14...DONE. Wall: 0.0818, CPU: 0.0 : Thu, 19 Oct 2006 14:36:21 +0000
      • Results: average wall time- 0.0929 : average cpu time- 0.0004
  • Testing "Component List" on 100 verts
    1. Grape
      • Constructing Grape graphs...DONE.
      • Timing Grape's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 0...DONE. Wall: 0.0116, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 1...DONE. Wall: 0.0066, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 2...DONE. Wall: 0.007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 3...DONE. Wall: 0.0076, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 4...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 5...DONE. Wall: 0.0067, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 6...DONE. Wall: 0.0074, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 7...DONE. Wall: 0.0062, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 8...DONE. Wall: 0.0065, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 9...DONE. Wall: 0.0065, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 10...DONE. Wall: 0.0068, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 11...DONE. Wall: 0.0068, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 12...DONE. Wall: 0.0074, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 13...DONE. Wall: 0.0071, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:22 +0000
        • Timing graph number 14...DONE. Wall: 0.0071, CPU: 0.0 : Thu, 19 Oct 2006 14:36:22 +0000
      • Results: average wall time- 0.0072 : average cpu time- 0.0009
    2. Sparse Magma
      • Constructing Sparse Magma graphs...DONE.
      • Timing Sparse Magma's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 5...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
      • Results: average wall time- 0.0007 : average cpu time- 0.0007
    3. Dense Magma
      • Constructing Dense Magma graphs...DONE.
      • Timing Dense Magma's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
      • Results: average wall time- 0.0007 : average cpu time- 0.0
    4. NetworkX
      • Constructing NetworkX graphs...DONE.
      • Timing NetworkX's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 0...DONE. Wall: 0.0017, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 1...DONE. Wall: 0.0015, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 2...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 3...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 4...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 5...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 6...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 7...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 8...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 9...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 10...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 11...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 12...DONE. Wall: 0.0014, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 13...DONE. Wall: 0.0015, CPU: 0.0 : Thu, 19 Oct 2006 14:36:23 +0000
        • Timing graph number 14...DONE. Wall: 0.0014, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:23 +0000
      • Results: average wall time- 0.0014 : average cpu time- 0.0016
    5. Combinatorica
      • Constructing Combinatorica graphs...DONE.
      • Timing Combinatorica's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:24 +0000
        • Timing graph number 0...DONE. Wall: 0.0486, CPU: 0.0 : Thu, 19 Oct 2006 14:36:24 +0000
        • Timing graph number 1...DONE. Wall: 0.0489, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
        • Timing graph number 2...DONE. Wall: 0.0482, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
        • Timing graph number 3...DONE. Wall: 0.0491, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:25 +0000
        • Timing graph number 4...DONE. Wall: 0.0815, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
        • Timing graph number 5...DONE. Wall: 0.1162, CPU: 0.0 : Thu, 19 Oct 2006 14:36:25 +0000
        • Timing graph number 6...DONE. Wall: 0.0816, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
        • Timing graph number 7...DONE. Wall: 0.0823, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:26 +0000
        • Timing graph number 8...DONE. Wall: 0.115, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
        • Timing graph number 9...DONE. Wall: 0.0825, CPU: 0.0 : Thu, 19 Oct 2006 14:36:26 +0000
        • Timing graph number 10...DONE. Wall: 0.1163, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
        • Timing graph number 11...DONE. Wall: 0.0818, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
        • Timing graph number 12...DONE. Wall: 0.1152, CPU: 0.0 : Thu, 19 Oct 2006 14:36:27 +0000
        • Timing graph number 13...DONE. Wall: 0.0818, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:28 +0000
        • Timing graph number 14...DONE. Wall: 0.1142, CPU: 0.0 : Thu, 19 Oct 2006 14:36:28 +0000
      • Results: average wall time- 0.0842 : average cpu time- 0.0007
    6. Maple
      • Constructing Maple graphs...DONE.
      • Timing Maple's Component List function ( 100 verts ) : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 0...DONE. Wall: 0.0093, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 1...DONE. Wall: 0.0424, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 2...DONE. Wall: 0.0577, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 3...DONE. Wall: 0.043, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 4...DONE. Wall: 0.0094, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 5...DONE. Wall: 0.0423, CPU: 0.0 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 6...DONE. Wall: 0.0089, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:41 +0000
        • Timing graph number 7...DONE. Wall: 0.0427, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 8...DONE. Wall: 0.0092, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 9...DONE. Wall: 0.0507, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 10...DONE. Wall: 0.0429, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 11...DONE. Wall: 0.0095, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 12...DONE. Wall: 0.0432, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 13...DONE. Wall: 0.0091, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
        • Timing graph number 14...DONE. Wall: 0.0425, CPU: 0.0 : Thu, 19 Oct 2006 14:36:42 +0000
      • Results: average wall time- 0.0309 : average cpu time- 0.0011
  • Testing "Diameter" on 100 verts
    1. Grape
      • Constructing Grape graphs...DONE.
      • Timing Grape's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:43 +0000
        • Timing graph number 0...DONE. Wall: 0.1573, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:44 +0000
        • Timing graph number 1...DONE. Wall: 0.156, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:44 +0000
        • Timing graph number 2...DONE. Wall: 0.1518, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:45 +0000
        • Timing graph number 3...DONE. Wall: 0.1568, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:45 +0000
        • Timing graph number 4...DONE. Wall: 0.1536, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:46 +0000
        • Timing graph number 5...DONE. Wall: 0.16, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:46 +0000
        • Timing graph number 6...DONE. Wall: 0.1553, CPU: 0.01 : Thu, 19 Oct 2006 14:36:46 +0000
        • Timing graph number 7...DONE. Wall: 0.1611, CPU: 0.0067 : Thu, 19 Oct 2006 14:36:47 +0000
        • Timing graph number 8...DONE. Wall: 0.1563, CPU: 0.01 : Thu, 19 Oct 2006 14:36:47 +0000
        • Timing graph number 9...DONE. Wall: 0.1579, CPU: 0.01 : Thu, 19 Oct 2006 14:36:48 +0000
        • Timing graph number 10...DONE. Wall: 0.1593, CPU: 0.01 : Thu, 19 Oct 2006 14:36:48 +0000
        • Timing graph number 11...DONE. Wall: 0.1586, CPU: 0.01 : Thu, 19 Oct 2006 14:36:49 +0000
        • Timing graph number 12...DONE. Wall: 0.1584, CPU: 0.01 : Thu, 19 Oct 2006 14:36:49 +0000
        • Timing graph number 13...DONE. Wall: 0.1559, CPU: 0.01 : Thu, 19 Oct 2006 14:36:50 +0000
        • Timing graph number 14...DONE. Wall: 0.1568, CPU: 0.0133 : Thu, 19 Oct 2006 14:36:50 +0000
      • Results: average wall time- 0.157 : average cpu time- 0.0084
    2. Sparse Magma
      • Constructing Sparse Magma graphs...DONE.
      • Timing Sparse Magma's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 0...DONE. Wall: 0.0012, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 1...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 2...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 3...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 4...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 5...DONE. Wall: 0.0009, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 6...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 7...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 8...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 10...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 11...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 12...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 13...DONE. Wall: 0.001, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 14...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
      • Results: average wall time- 0.0009 : average cpu time- 0.0004
    3. Dense Magma
      • Constructing Dense Magma graphs...DONE.
      • Timing Dense Magma's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 0...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 1...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 2...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 3...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 4...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 5...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 6...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 7...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 8...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 9...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 10...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 11...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 12...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 13...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 14...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:36:51 +0000
      • Results: average wall time- 0.0008 : average cpu time- 0.0004
    4. NetworkX
      • Constructing NetworkX graphs...DONE.
      • Timing NetworkX's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:51 +0000
        • Timing graph number 0...DONE. Wall: 0.1261, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
        • Timing graph number 1...DONE. Wall: 0.1272, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
        • Timing graph number 2...DONE. Wall: 0.1256, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:52 +0000
        • Timing graph number 3...DONE. Wall: 0.1265, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:53 +0000
        • Timing graph number 4...DONE. Wall: 0.1266, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:53 +0000
        • Timing graph number 5...DONE. Wall: 0.1275, CPU: 0.13 : Thu, 19 Oct 2006 14:36:53 +0000
        • Timing graph number 6...DONE. Wall: 0.1265, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:54 +0000
        • Timing graph number 7...DONE. Wall: 0.127, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:54 +0000
        • Timing graph number 8...DONE. Wall: 0.1253, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:55 +0000
        • Timing graph number 9...DONE. Wall: 0.1271, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:55 +0000
        • Timing graph number 10...DONE. Wall: 0.1268, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:55 +0000
        • Timing graph number 11...DONE. Wall: 0.1262, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:56 +0000
        • Timing graph number 12...DONE. Wall: 0.1254, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:56 +0000
        • Timing graph number 13...DONE. Wall: 0.1258, CPU: 0.1233 : Thu, 19 Oct 2006 14:36:56 +0000
        • Timing graph number 14...DONE. Wall: 0.1247, CPU: 0.1267 : Thu, 19 Oct 2006 14:36:57 +0000
      • Results: average wall time- 0.1263 : average cpu time- 0.1262
    5. Combinatorica
      • Constructing Combinatorica graphs...DONE.
      • Timing Combinatorica's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:36:58 +0000
        • Timing graph number 0...DONE. Wall: 5.1816, CPU: 0.0 : Thu, 19 Oct 2006 14:37:13 +0000
        • Timing graph number 1...DONE. Wall: 5.2109, CPU: 0.0 : Thu, 19 Oct 2006 14:37:29 +0000
        • Timing graph number 2...DONE. Wall: 5.1302, CPU: 0.0033 : Thu, 19 Oct 2006 14:37:44 +0000
        • Timing graph number 3...DONE. Wall: 5.1968, CPU: 0.0033 : Thu, 19 Oct 2006 14:38:00 +0000
        • Timing graph number 4...DONE. Wall: 5.2016, CPU: 0.0 : Thu, 19 Oct 2006 14:38:16 +0000
        • Timing graph number 5...DONE. Wall: 5.5481, CPU: 0.0 : Thu, 19 Oct 2006 14:38:32 +0000
        • Timing graph number 6...DONE. Wall: 5.2037, CPU: 0.0 : Thu, 19 Oct 2006 14:38:48 +0000
        • Timing graph number 7...DONE. Wall: 5.2333, CPU: 0.0 : Thu, 19 Oct 2006 14:39:04 +0000
        • Timing graph number 8...DONE. Wall: 5.0587, CPU: 0.0033 : Thu, 19 Oct 2006 14:39:19 +0000
        • Timing graph number 9...DONE. Wall: 5.2813, CPU: 0.0 : Thu, 19 Oct 2006 14:39:35 +0000
        • Timing graph number 10...DONE. Wall: 5.2476, CPU: 0.0 : Thu, 19 Oct 2006 14:39:50 +0000
        • Timing graph number 11...DONE. Wall: 5.192, CPU: 0.0 : Thu, 19 Oct 2006 14:40:06 +0000
        • Timing graph number 12...DONE. Wall: 5.1713, CPU: 0.0 : Thu, 19 Oct 2006 14:40:21 +0000
        • Timing graph number 13...DONE. Wall: 5.1719, CPU: 0.0 : Thu, 19 Oct 2006 14:40:37 +0000
        • Timing graph number 14...DONE. Wall: 5.1415, CPU: 0.0033 : Thu, 19 Oct 2006 14:40:52 +0000
      • Results: average wall time- 5.2114 : average cpu time- 0.0009
    6. Maple
      • Constructing Maple graphs...DONE.
      • Timing Maple's Diameter function ( 100 verts ) : Thu, 19 Oct 2006 14:41:06 +0000
        • Timing graph number 0...DONE. Wall: 22.7694, CPU: 0.0 : Thu, 19 Oct 2006 14:42:14 +0000
        • Timing graph number 1...DONE. Wall: 22.451, CPU: 0.0 : Thu, 19 Oct 2006 14:43:21 +0000
        • Timing graph number 2...DONE. Wall: 22.3481, CPU: 0.0 : Thu, 19 Oct 2006 14:44:28 +0000
        • Timing graph number 3...DONE. Wall: 22.7295, CPU: 0.0033 : Thu, 19 Oct 2006 14:45:37 +0000
        • Timing graph number 4...DONE. Wall: 19.3066, CPU: 0.0 : Thu, 19 Oct 2006 14:46:35 +0000
        • Timing graph number 5...DONE. Wall: 19.3794, CPU: 0.0 : Thu, 19 Oct 2006 14:47:33 +0000
        • Timing graph number 6...DONE. Wall: 21.9165, CPU: 0.0033 : Thu, 19 Oct 2006 14:48:38 +0000
        • Timing graph number 7...DONE. Wall: 19.9926, CPU: 0.0 : Thu, 19 Oct 2006 14:49:38 +0000
        • Timing graph number 8...DONE. Wall: 18.1134, CPU: 0.0033 : Thu, 19 Oct 2006 14:50:33 +0000
        • Timing graph number 9...DONE. Wall: 20.1315, CPU: 0.0 : Thu, 19 Oct 2006 14:51:33 +0000
        • Timing graph number 10...DONE. Wall: 14.662, CPU: 0.0 : Thu, 19 Oct 2006 14:52:17 +0000
        • Timing graph number 11...DONE. Wall: 11.2313, CPU: 0.0067 : Thu, 19 Oct 2006 14:52:51 +0000
        • Timing graph number 12...DONE. Wall: 16.8578, CPU: 0.0 : Thu, 19 Oct 2006 14:53:41 +0000
        • Timing graph number 13...DONE. Wall: 19.9063, CPU: 0.0 : Thu, 19 Oct 2006 14:54:41 +0000
        • Timing graph number 14...DONE. Wall: 21.0883, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:44 +0000
      • Results: average wall time- 19.5256 : average cpu time- 0.0013
  • Testing "Girth" on 100 verts
    1. Grape
      • Constructing Grape graphs...DONE.
      • Timing Grape's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 0...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 1...DONE. Wall: 0.0056, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 2...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 3...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 4...DONE. Wall: 0.0058, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 5...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 6...DONE. Wall: 0.0061, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 7...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 8...DONE. Wall: 0.0058, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 9...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 10...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 11...DONE. Wall: 0.0063, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 12...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 13...DONE. Wall: 0.0063, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
        • Timing graph number 14...DONE. Wall: 0.0032, CPU: 0.0 : Thu, 19 Oct 2006 14:55:45 +0000
      • Results: average wall time- 0.0043 : average cpu time- 0.0004
    2. Sparse Magma
      • Constructing Sparse Magma graphs...DONE.
      • Timing Sparse Magma's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 0...DONE. Wall: 0.0009, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 1...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 10...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 11...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 14...DONE. Wall: 0.0008, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
      • Results: average wall time- 0.0007 : average cpu time- 0.0002
    3. Dense Magma
      • Constructing Dense Magma graphs...DONE.
      • Timing Dense Magma's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 0...DONE. Wall: 0.0008, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 1...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 2...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 3...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 4...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 5...DONE. Wall: 0.0007, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 6...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 7...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 8...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 9...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 10...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 11...DONE. Wall: 0.0006, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 12...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 13...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
        • Timing graph number 14...DONE. Wall: 0.0007, CPU: 0.0 : Thu, 19 Oct 2006 14:55:46 +0000
      • Results: average wall time- 0.0007 : average cpu time- 0.0004
    4. Combinatorica
      • Constructing Combinatorica graphs...DONE.
      • Timing Combinatorica's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:55:47 +0000
        • Timing graph number 0...DONE. Wall: 0.226, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:48 +0000
        • Timing graph number 1...DONE. Wall: 0.2071, CPU: 0.0 : Thu, 19 Oct 2006 14:55:48 +0000
        • Timing graph number 2...DONE. Wall: 0.2025, CPU: 0.0 : Thu, 19 Oct 2006 14:55:49 +0000
        • Timing graph number 3...DONE. Wall: 0.2037, CPU: 0.0 : Thu, 19 Oct 2006 14:55:49 +0000
        • Timing graph number 4...DONE. Wall: 0.2021, CPU: 0.0 : Thu, 19 Oct 2006 14:55:50 +0000
        • Timing graph number 5...DONE. Wall: 0.2056, CPU: 0.0067 : Thu, 19 Oct 2006 14:55:51 +0000
        • Timing graph number 6...DONE. Wall: 0.1991, CPU: 0.0 : Thu, 19 Oct 2006 14:55:51 +0000
        • Timing graph number 7...DONE. Wall: 0.204, CPU: 0.0 : Thu, 19 Oct 2006 14:55:52 +0000
        • Timing graph number 8...DONE. Wall: 0.1976, CPU: 0.0 : Thu, 19 Oct 2006 14:55:52 +0000
        • Timing graph number 9...DONE. Wall: 0.2053, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:53 +0000
        • Timing graph number 10...DONE. Wall: 0.2052, CPU: 0.0 : Thu, 19 Oct 2006 14:55:54 +0000
        • Timing graph number 11...DONE. Wall: 0.2074, CPU: 0.0 : Thu, 19 Oct 2006 14:55:54 +0000
        • Timing graph number 12...DONE. Wall: 0.2045, CPU: 0.0 : Thu, 19 Oct 2006 14:55:55 +0000
        • Timing graph number 13...DONE. Wall: 0.2073, CPU: 0.0 : Thu, 19 Oct 2006 14:55:56 +0000
        • Timing graph number 14...DONE. Wall: 0.1947, CPU: 0.0033 : Thu, 19 Oct 2006 14:55:56 +0000
      • Results: average wall time- 0.2048 : average cpu time- 0.0011
    5. Maple
      • Constructing Maple graphs...DONE.
      • Timing Maple's Girth function ( 100 verts ) : Thu, 19 Oct 2006 14:56:09 +0000
        • Timing graph number 0...DONE. Wall: 0.3105, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:10 +0000
        • Timing graph number 1...DONE. Wall: 0.2526, CPU: 0.0 : Thu, 19 Oct 2006 14:56:11 +0000
        • Timing graph number 2...DONE. Wall: 0.2719, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:11 +0000
        • Timing graph number 3...DONE. Wall: 0.3053, CPU: 0.0 : Thu, 19 Oct 2006 14:56:12 +0000
        • Timing graph number 4...DONE. Wall: 0.3111, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:13 +0000
        • Timing graph number 5...DONE. Wall: 0.3105, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:14 +0000
        • Timing graph number 6...DONE. Wall: 0.3097, CPU: 0.0 : Thu, 19 Oct 2006 14:56:15 +0000
        • Timing graph number 7...DONE. Wall: 0.3118, CPU: 0.0 : Thu, 19 Oct 2006 14:56:16 +0000
        • Timing graph number 8...DONE. Wall: 0.3108, CPU: 0.0 : Thu, 19 Oct 2006 14:56:17 +0000
        • Timing graph number 9...DONE. Wall: 0.3115, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:18 +0000
        • Timing graph number 10...DONE. Wall: 0.3071, CPU: 0.0 : Thu, 19 Oct 2006 14:56:19 +0000
        • Timing graph number 11...DONE. Wall: 0.3131, CPU: 0.0 : Thu, 19 Oct 2006 14:56:20 +0000
        • Timing graph number 12...DONE. Wall: 0.3119, CPU: 0.0 : Thu, 19 Oct 2006 14:56:21 +0000
        • Timing graph number 13...DONE. Wall: 0.3091, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:22 +0000
        • Timing graph number 14...DONE. Wall: 0.3104, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
      • Results: average wall time- 0.3038 : average cpu time- 0.0013
  • Testing "Planarity" on 100 verts
    1. Sparse Magma
      • Constructing Sparse Magma graphs...DONE.
      • Timing Sparse Magma's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 0...DONE. Wall: 0.003, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 1...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 2...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 3...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 4...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 5...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 6...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 7...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 8...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 9...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 10...DONE. Wall: 0.0028, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 11...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 12...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 13...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 14...DONE. Wall: 0.0027, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
      • Results: average wall time- 0.0028 : average cpu time- 0.0004
    2. Dense Magma
      • Constructing Dense Magma graphs...DONE.
      • Timing Dense Magma's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 0...DONE. Wall: 0.003, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 1...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 2...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 3...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 4...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:23 +0000
        • Timing graph number 5...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 6...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 7...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 8...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 9...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 10...DONE. Wall: 0.0029, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 11...DONE. Wall: 0.0028, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 12...DONE. Wall: 0.0031, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 13...DONE. Wall: 0.0029, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
        • Timing graph number 14...DONE. Wall: 0.003, CPU: 0.0 : Thu, 19 Oct 2006 14:56:24 +0000
      • Results: average wall time- 0.0029 : average cpu time- 0.0004
    3. Combinatorica
      • Constructing Combinatorica graphs...DONE.
      • Timing Combinatorica's Planarity function ( 100 verts ) : Thu, 19 Oct 2006 14:56:25 +0000
        • Timing graph number 0...DONE. Wall: 0.3201, CPU: 0.0 : Thu, 19 Oct 2006 14:56:26 +0000
        • Timing graph number 1...DONE. Wall: 0.5235, CPU: 0.0 : Thu, 19 Oct 2006 14:56:27 +0000
        • Timing graph number 2...DONE. Wall: 0.4845, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:29 +0000
        • Timing graph number 3...DONE. Wall: 0.5233, CPU: 0.0 : Thu, 19 Oct 2006 14:56:30 +0000
        • Timing graph number 4...DONE. Wall: 0.5246, CPU: 0.0 : Thu, 19 Oct 2006 14:56:32 +0000
        • Timing graph number 5...DONE. Wall: 0.5275, CPU: 0.0067 : Thu, 19 Oct 2006 14:56:33 +0000
        • Timing graph number 6...DONE. Wall: 0.4925, CPU: 0.0 : Thu, 19 Oct 2006 14:56:35 +0000
        • Timing graph number 7...DONE. Wall: 0.5299, CPU: 0.0 : Thu, 19 Oct 2006 14:56:36 +0000
        • Timing graph number 8...DONE. Wall: 0.5221, CPU: 0.0 : Thu, 19 Oct 2006 14:56:38 +0000
        • Timing graph number 9...DONE. Wall: 0.5298, CPU: 0.0033 : Thu, 19 Oct 2006 14:56:40 +0000
        • Timing graph number 10...DONE. Wall: 0.5294, CPU: 0.0 : Thu, 19 Oct 2006 14:56:41 +0000
        • Timing graph number 11...DONE. Wall: 0.4932, CPU: 0.0 : Thu, 19 Oct 2006 14:56:43 +0000
        • Timing graph number 12...DONE. Wall: 0.5268, CPU: 0.0 : Thu, 19 Oct 2006 14:56:44 +0000
        • Timing graph number 13...DONE. Wall: 0.5261, CPU: 0.0 : Thu, 19 Oct 2006 14:56:46 +0000
        • Timing graph number 14...DONE. Wall: 0.5213, CPU: 0.0 : Thu, 19 Oct 2006 14:56:47 +0000
      • Results: average wall time- 0.505 : average cpu time- 0.0009

graph_benchmark (last edited 2008-11-14 13:41:59 by anonymous)