On Sun, Mar 7, 2010 at 5:32 AM, m_p_v_13 <[email protected]> wrote:
> Hello,
>
> The student is my daughter who is doing a graph theory investigation
> for a high school class independent study.
>
> It is an detectable type edge coloring problem.
> Edges must be colored so that adjacent vertices do not have the same
> number of each color of edges.


Can you please rephrase?  Do you have a simple graph?
Do you want the chromatic index (http://en.wikipedia.org/wiki/Edge_coloring)
or the chromatic number (http://en.wikipedia.org/wiki/Graph_coloring)?


>
> She is investigating a limited case for three colors and 6 or seven
> vertices, primarily theoretically by partitioning the problem.
>
> She asked if I could help her with a program to generate some
> solutions as an investigative tool.
> I thought I could, but I'm stuck.
>
> I was able to generate and print adj. matrices for the appropriate
> graphs using the graphs() function and figured out how to set the edge
> labels.
>
> I tried to understand and modify the edge_coloring() function in
> sage.graphs.graph_coloring package but it is way to complex for me and
> the time I have left.  This has been my first exposure to Sage or
> python. I have programmed a lot of C, C++, and Java.
>
> Is there anyone out there who can either (within the next 10 hours)
>
> - modify the Sage edge_coloring function for this case, or
>
> - point me to anything else, simpler, that can be used or modified to
> generate some solutions (greedy, monte carlo, brute force, slow, etc.)
> on any platform  (in Sage, Java, Matlib, etc.)  that we have a chance
> to understand.  (e.g. like the "The greedy coloring algorithm in 6
> lines" described by Nathann.Cohen).
>
>
> Thanks for any help or suggestions.
>
> Michael Vogt
>
>
>
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