On Thu, Jul 11, 2013 at 03:39:02PM -0700, KC wrote:
> I ask this on this mailing list because there are quite a few
> mathematically oriented people here.
If you accept the Law of Excluded Middle, everything either has a
matroid structure, or not. On the other hand, if you do not accept
it, then there may be some combinatorial algorithms which have neither
(because we have not found a matroid structure, or proved one does not
exist). Either way, I do not understand the point of your question.
-Brent
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