#18539: faster matroid 3 connectivity
-------------------------------------+-------------------------------------
Reporter: chaoxu | Owner: chaoxu
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: matroid theory | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/chaoxu/faster_matroid_3_connectivity|
84a81fdefe60c488faf9e4610c170c985e0c5f2f
Dependencies: | Stopgaps:
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Comment (by Rudi):
Replying to [comment:19 chaoxu]:
> This code didn't return the same output as the original components.
>
It should be:
{{{
for e in B:
C = set(self._fundamental_cocircuit(B,e))
}}}
or
{{{
for e in self.groundset() - B:
C = set(self._fundamental_cocircuit(B,e))
}}}
I mixed them up.
>What is the abstract way to find components from a set of fundamental
cocircuits?
Consider the hypergraph H whose ground set is E(M) and whose edges are the
fundamental cocircuits of M relative to a fixed basis B. Then the
components of H are the components of M.
--
Ticket URL: <http://trac.sagemath.org/ticket/18539#comment:20>
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