#17464: Computing the automorphism group of a graph
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Reporter: azi | Owner:
Type: | Status: needs_info
enhancement | Milestone: sage-6.5
Priority: major | Resolution:
Component: graph | Merged in:
theory | Reviewers:
Keywords: | Work issues:
Authors: | Commit:
Report Upstream: N/A | f8e2618b7b644a6bee364379405485a5c8468418
Branch: | Stopgaps:
public/bliss |
Dependencies: |
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Comment (by azi):
The speedup looks promising. Just a quick preview :
{{{
sage: G = graphs.CubeGraph(4)
sage: %timeit automorphism_group_bliss(G)
1000 loops, best of 3: 885 µs per loop
sage: %timeit G.automorphism_group()
1000 loops, best of 3: 1.31 ms per loop
}}}
{{{
sage: G = graphs.GeneralizedPetersenGraph(250,2)
sage: %timeit automorphism_group_bliss(G)
100 loops, best of 3: 7.21 ms per loop
sage: %timeit G.automorphism_group()
10 loops, best of 3: 45.8 ms per loop
}}}
{{{
sage: G.order()
sage: 9369
sage: t1 = time() ; A = automorphism_group_bliss(G); t2 = time()
sage: t2-t1
37.43013310432434
sage: t1 = time() ; A = G.automorphism_group(); t2 = time() # uses 50% of
RAM
sage: t2-t1
624.5415680408478
}}}
Asymmetric graphs:
{{{
sage: G = graphs.RandomGNP(500,0.8)
sage: %timeit G.automorphism_group()
1 loops, best of 3: 499 ms per loop
sage: %timeit automorphism_group_bliss(G)
10 loops, best of 3: 163 ms per loop
sage: G = graphs.RandomGNP(3300, 0.1)
sage: %timeit automorphism_group_bliss(G)
1 loops, best of 3: 923 ms per loop
sage: %timeit G.automorphism_group()
1 loops, best of 3: 6.49 s per loop
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17464#comment:13>
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