#13917: IndependentSets class
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Reporter: ncohen | Owner: jason, ncohen, rlm
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.10
Component: graph theory | Resolution:
Keywords: | Work issues: design, documentation
Report Upstream: N/A | Reviewers: ahmorales
Authors: Nathann Cohen | Merged in:
Dependencies: | Stopgaps:
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Description changed by ncohen:
Old description:
> I'm rather disappointed by this patch. Or I'm pleasantly surprised by
> Python, I don't know. I expected a much better speedup.
>
> {{{
> sage: g = graphs.RandomGNP(50,.7)
> sage: import networkx
> sage: gn = g.networkx_graph()
> sage: %timeit list(networkx.find_cliques(gn))
> 10 loops, best of 3: 59.9 ms per loop
> sage: from sage.graphs.independent_sets import IndependentSets
> sage: %timeit list(IndependentSets(g,complement=True, maximal = True))
> 100 loops, best of 3: 19.7 ms per loop
> sage: %timeit IndependentSets(g,complement=True, maximal =
> True).cardinality()
> 100 loops, best of 3: 17.6 ms per loop
> }}}
>
> Either way, this patch implements a `sage.graphs.independent_set` module
> that can list/count (possibly maximal) independent sets in a small graph
> (<64 vertices).
>
> And count them.
>
> Anyway, don't hesitate to tell me that this patch is useless if you feel
> like it. I'm not *that* convinced either.
>
> Nathann
New description:
I'm rather disappointed by this patch. Or I'm pleasantly surprised by
Python, I don't know. I expected a much better speedup.
{{{
sage: g = graphs.RandomGNP(50,.7)
sage: import networkx
sage: gn = g.networkx_graph()
sage: %timeit list(networkx.find_cliques(gn))
10 loops, best of 3: 48.8 ms per loop
sage: from sage.graphs.independent_sets import IndependentSets
sage: %timeit list(IndependentSets(g,complement=True, maximal = True))
10 loops, best of 3: 20.8 ms per loop
sage: %timeit IndependentSets(g,complement=True, maximal =
True).cardinality()
100 loops, best of 3: 19 ms per loop
}}}
Either way, this patch implements a `sage.graphs.independent_set` module
that can list/count (possibly maximal) independent sets.
Anyway, don't hesitate to tell me that this patch is useless if you feel
like it. I'm not *that* convinced either.
Nathann
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13917#comment:10>
Sage <http://www.sagemath.org>
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