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Discrete Mathematics & Theoretical Computer Science |
We endow the set of isomorphism classes of matroids with a new Hopf algebra structure, in which the coproduct is implemented via the combinatorial operations of restriction and deletion. We also initiate the investigation of dendriform coalgebra structures on matroids and introduce a monomial invariant which satisfy a convolution identity with respect to restriction and deletion.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0505207 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.jpaa.2006.06.005
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