#12379: Graph chromatic_number - change default algorithm.
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Reporter: JoalHeagney | Owner: jason, ncohen, rlm
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.0
Component: graph theory | Keywords: graph, MILP, chromatic_number
Work_issues: | Upstream: N/A
Reviewer: | Author: JoalHeagney
Merged: | Dependencies:
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Comment(by was):
A student in my class -- Andrew Johnson -- looked at doing this ticket.
But he was surprised to find that your assertion that
{{{
g = graphs.CubeGraph(11)
time g.chromatic_number(algorithm='DLX')
Time: CPU 0.27 s, Wall: 0.27 s
time g.chromatic_number(algorithm='MILP')
Time: CPU 0.06 s, Wall: 0.06 s
}}}
But the next one has DLX way ahead:
{{{
g = graphs.RandomGNP(30, .4)
time g.chromatic_number(algorithm='DLX')
Time: CPU 1.37 s, Wall: 1.37 s
time g.chromatic_number(algorithm='MILP')
Time: CPU 11.29 s, Wall: 11.30 s
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12379#comment:2>
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