[with patch, needs review] Vertex Coloring, Edge Coloring (uses Linear Programming)

[ncohen]

Hello everybody !!!

Here are two new functions for the Graph class in Sage : vertex_coloring and edge_coloring.

Those new functions both use Linear programming, so to use them you will have to install the patche AllMIP-2.flattened in #6502 along with the package GLPK :

​http://trac.sagemath.org/sage_trac/ticket/6502

If you want them to be ever more efficient, you can also install COIN-OR/CBC ( from #6603 ) with this line :

sage -f ​http://www-sop.inria.fr/members/Nathann.Cohen/cbc-2.3.spkg

I hope I learned what I had to with my previous patch, as I hope you will find those functions sufficiently and correctly documented. These functions should be ---way--- more efficient than the previous ones, regardless of the Linear Solver you chose to use.

[ncohen]

First patch !

[ncohen]

First patch !

[ncohen]

Hmmm... The two patches coloring-1 and coloring-1.2 are exactly identical, but I do not know how to remove the second one ;