Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras
Abstract
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.
| Origin | Explicit agreement for this submission |
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