Differences between revisions 13 and 45 (spanning 32 versions)
Revision 13 as of 2007-06-12 20:49:00
Size: 1538
Editor: anonymous
Comment:
Revision 45 as of 2008-11-14 13:41:54
Size: 2392
Editor: anonymous
Comment: converted to 1.6 markup
Deletions are marked like this. Additions are marked like this.
Line 3: Line 3:
[:days4/projects/: Other SAGE Days 4 Project] [[days4/projects/| Other SAGE Days 4 Project]]
Line 5: Line 5:
 * NetworkX: The following modules could be useful, and have not yet been wrapped: centrality, cliques, cluster, cores, hybrid, search, spectrum, threshold
   * centrality, cliques, cluster, cores, search -- These are pretty standard graph theoretic programs, and should not take too long to wrap.
   * spectrum -- This should probably not be wrapped, but instead mimicked, since sage's linear algebra is undoubtedly faster.
   * hybrid, threshold -- These seem to be specialized programs that are closely related to the research areas of the NetworkX authors. It is unclear what to do with these.
Participants: Emily Kirkman, Robert Miller, Craig Citro and David Roe
{{{
# Cayley Graph of $A_5$
sage: G = sage.groups.perm_gps.permgroup.AlternatingGroup(5)
sage: C = G.cayley_graph()
sage: C.show3d(vertex_size=0.01, arc_size=0.005, arc_size2=0.008, xres=1000, yres=800)
}}}
== BEFORE ==
{{attachment:before.png}}
== AFTER ==
{{attachment:after.png}}
== NEW ==
Vertex and edge colors for 3d graphs
{{attachment:dod.png}}
{{attachment:pet.png}}
 * (done) Latex Graphs: Craig Citro & Robert Miller -- write an eps file to be included in LaTeX documents.
Line 10: Line 22:
 * NICE: The nauty clone for computing automorphism groups of graphs, and computing isomorphism. It has been converted to Pyrex, but it could still stand much optimization.  * (done) NetworkX 1: Expose these in SAGE: centrality, cliques, cluster, cores, search.
    * Also note significant updates to Generators class from wrapping NetworkX, (see the [[http://www.sagemath.org:9001/graph_generators|wiki]] for pretty pictures).
Line 12: Line 25:
 * Wishlist from Chris Godsil: It would be great if we could complete the list this week.  * [[http://sage.math.washington.edu/home/rlmill/wshlst.pdf|Wishlist]] from Chris Godsil. Most feasible first.
Line 14: Line 27:
 * Electrical Networks, Jim Morrow's REU: Graphs with boundary are already in sage, but there are probably some useful constructions for Jim's summer REU that are not implemented yet. Especially data structures, perhaps an !ElectricalNetworks class. Look at the Dirichlet problem and (circular) planar embeddings of graphs.     * (done) graph isomorphism and automorphism, graph6 and sparse6 formatting, database of small graphs, eigenvalues and eigenspaces, characteristic and minimal polynomials, cayley graphs, edge colorings
Line 16: Line 29:
 * Latex Graphs: At sage days 3, Craig Citro gave Robert Miller a scheme program to plot graphs in postscript format. It would be great to get this working from python.     * (easy) bipartite graphs, point graph, line graph, graph from set and binary function, vertices as vector subspaces, generating trees

    * (medium) certain types of curves for plotting edges, generator based on geng

    * (tedium) databases: ted spence, gordon royle

    * (hard) max indep. set, chromatic number, hamilton cycles and paths, chromatic polynomial, tutte polynomial, cut vertices, vertex/edge connectivity, planarity
Line 19: Line 38:
    * Emily Kirkman is currently working on this.

 * Electrical Networks, Jim Morrow's REU: Graphs with boundary are already in sage, but there are probably some useful constructions for Jim's summer REU that are not implemented yet. Especially data structures, perhaps an !ElectricalNetworks class. Look at the Dirichlet problem, graphs on surfaces and (circular) planar embeddings of graphs.

 * Bipartite Class

 * NetworkX 2:
   * spectrum -- This should probably not be wrapped, but instead mimicked, since sage's linear algebra is undoubtedly faster.
   * hybrid, threshold -- Figure out what these are?

Graph Theory

Other SAGE Days 4 Project

Participants: Emily Kirkman, Robert Miller, Craig Citro and David Roe

# Cayley Graph of $A_5$
sage: G = sage.groups.perm_gps.permgroup.AlternatingGroup(5)
sage: C = G.cayley_graph()
sage: C.show3d(vertex_size=0.01, arc_size=0.005, arc_size2=0.008, xres=1000, yres=800)

BEFORE

before.png

AFTER

after.png

NEW

Vertex and edge colors for 3d graphs dod.png pet.png

  • (done) Latex Graphs: Craig Citro & Robert Miller -- write an eps file to be included in LaTeX documents.

  • (done) NetworkX 1: Expose these in SAGE: centrality, cliques, cluster, cores, search.
    • Also note significant updates to Generators class from wrapping NetworkX, (see the wiki for pretty pictures).

  • Wishlist from Chris Godsil. Most feasible first.

    • (done) graph isomorphism and automorphism, graph6 and sparse6 formatting, database of small graphs, eigenvalues and eigenspaces, characteristic and minimal polynomials, cayley graphs, edge colorings
    • (easy) bipartite graphs, point graph, line graph, graph from set and binary function, vertices as vector subspaces, generating trees
    • (medium) certain types of curves for plotting edges, generator based on geng
    • (tedium) databases: ted spence, gordon royle
    • (hard) max indep. set, chromatic number, hamilton cycles and paths, chromatic polynomial, tutte polynomial, cut vertices, vertex/edge connectivity, planarity
  • Graph Database: Update interface to sqlite database of all graphs with 8 or fewer vertices.
    • Emily Kirkman is currently working on this.
  • Electrical Networks, Jim Morrow's REU: Graphs with boundary are already in sage, but there are probably some useful constructions for Jim's summer REU that are not implemented yet. Especially data structures, perhaps an ElectricalNetworks class. Look at the Dirichlet problem, graphs on surfaces and (circular) planar embeddings of graphs.

  • Bipartite Class
  • NetworkX 2:
    • spectrum -- This should probably not be wrapped, but instead mimicked, since sage's linear algebra is undoubtedly faster.
    • hybrid, threshold -- Figure out what these are?

days4/projects/graphs (last edited 2008-11-14 13:41:54 by anonymous)