Diff for "graph_database"

Differences between revisions 5 and 10 (spanning 5 versions)

Introduction

The SAGE Graph Theory Project aims to implement Graph objects and algorithms in ["SAGE"].

The goal of the Graph Database is to implement constructors for many common graphs, as well as thorough docstrings that can be used for educational purposes. Please check below for updates and note the section set aside for suggestions at the bottom of the page.

Emily Kirkman is working on this project.

Basic Structures

We've begun to implement some basic graph constructors with (hopefully) intuitive graphics. Please browse below and for more information on graph plotting, look at Rober Miller's [http://sage.math.washington.edu:9001/graph_plotting wiki].

Complete Graphs

The Complete Graph constructor takes an integer argument, which is the number of vertices to be in the graph. The chosen convention is to display this graph in a cyclic manner with the first node at the top (via a position dictionary of [x,y] tuples).

Examples

Here is a complete graph with n=16

attachment:complete_16.png

Below, we used the SAGE GraphicsArray to show 16 complete graphs at once, starting at n=3 and through n=18.

attachment:complete_array.png

-  ⇤ ← Revision 5 as of 2006-11-13 10:36:51 → 
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+   ← Revision 10 as of 2006-11-13 11:04:25 → ⇥
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-Deletions are marked like this.
+Additions are marked like this.
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+ * The Complete Graph constructor takes an integer argument, which is the number of vertices to be in the graph.  The chosen convention is to display this graph in a cyclic manner with the first node at the top (via a position dictionary of [x,y] tuples).
-Line 16:
+Line 17:
-Below, we used the SAGE !GraphicsArray to show 16 complete graphs at once, starting at n=3 and through n=18.
    sage: g = []
    sage: j = []
    sage: for i in range(16):
    ...    k = graphs.!CompleteGraph(i+3)
    ...    g.append(k)
    ...
    sage: for i in range(4):
    ...    n = []
    ...    for m in range(4):
    ...        n.append(g[4*i + m].plot(node_size=50, with_labels=False))
    ...    j.append(n)
    ...
    sage: G = sage.plot.plot.GraphicsArray(j)
    sage: G.show()
+==== Examples ====
 * Here is a complete graph with n=16
attachment:complete_16.png
 * Below, we used the SAGE !GraphicsArray to show 16 complete graphs at once, starting at n=3 and through n=18.

Diff for "graph_database"

Introduction

Basic Structures

Complete Graphs

Examples

Named Graphs

Petersen

Suggestions