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Nov 6, 2009 at 0:01 vote accept Gordon Royle
Nov 9, 2009 at 7:23
Nov 5, 2009 at 4:17 history edited David E Speyer CC BY-SA 2.5
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Nov 5, 2009 at 4:04 comment added David E Speyer Uggh, so you really do want to think about that issue. Well, if Cunningham/Edmonds doesn't turn out to make it clear, you might also want to check "Structure and enumeration of two-connected graphs with prescribed three-connected components " ams.org/mathscinet-getitem?mr=2524178 , by Gagarin, Labelle, Leroux, and Walsh.
Nov 5, 2009 at 3:54 history edited David E Speyer CC BY-SA 2.5
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Nov 5, 2009 at 3:48 comment added Gordon Royle Yes, it seems like it SHOULD be the same as graph isomorphism and your answer gives a more detailed rationale for that. My only concern is whether one could find some graph with lots of nested 2-cuts that you couldn't untangle, but perhaps Cunningham/Edmonds is the place to check that this cannot occur. Overall it seems like somebody (else) should have done this already and published it!
Nov 5, 2009 at 3:43 vote accept Gordon Royle
Nov 6, 2009 at 0:01
Nov 5, 2009 at 3:31 history edited David E Speyer CC BY-SA 2.5
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Nov 5, 2009 at 2:55 history answered David E Speyer CC BY-SA 2.5