5 citations · 9 across the 5 of their papers we have counts for
5 papers
Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras
N. Hoang-Nghia, A. Tanasa, C. Tollu
We endow the set of isomorphic classes of matroids with a new Hopf algebra structure, in which the coproduct is implemented via the combinatorial operations of restriction and dele…
Renormalization group-like proof of the universality of the Tutte polynomial for matroids
G. H. E. Duchamp, N. Hoang-Nghia, T. Krajewski +1
In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced b…
A combinatorial non-commutative Hopf algebra of graphs
G. H. E. Duchamp, L. Foissy, N. Hoang-Nghia +2
A non-commutative, planar, Hopf algebra of rooted trees was proposed in L. Foissy, Bull. Sci. Math. 126 (2002) 193-239. In this paper we propose such a non-commutative Hopf algebra…
Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach
Gérard H. E. Duchamp, Nguyen Hoang-Nghia, Thomas Krajewski +1
Using a quantum field theory renormalization group-like differential equation, we give a new proof of the recipe theorem for the Tutte polynomial for matroids. The solution of such…
A word Hopf algebra based on the selection/quotient principle
G. H. E. Duchamp, N. Hoang-Nghia, A. Tanasa
In this paper, we define a Hopf algebra structure on the vector space spanned by packed words using a selection/quotient coproduct. We show that this algebra is free on its irreduc…