Geodesic
Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras
Discrete mathematics & theoretical computer science, Tome 17 (2015-2016) no. 3.

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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. 
@article{DMTCS_2016_17_3_a13,
     author = {Hoang-Nghia, Nguyen and Tanasa, Adrian and Tollu, Christophe},
     title = {Dendriform structures for restriction-deletion and restriction-contraction matroid {Hopf} algebras},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2015-2016},
     doi = {10.46298/dmtcs.2157},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2157/}
}
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Hoang-Nghia, Nguyen; Tanasa, Adrian; Tollu, Christophe. Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras. Discrete mathematics & theoretical computer science, Tome 17 (2015-2016) no. 3. doi : 10.46298/dmtcs.2157. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2157/

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