5 citations · 16 across the 11 of their papers we have counts for
11 papers
Elementary remarks about Pisano periods
Gérard Henry Edmond Duchamp, Pierre Simonnet
In this short note, we reprove in a very elementary way some known facts about Pisano periods as well as some considerations about the link between Pisano periods and the order of…
Towards a noncommutative Picard-Vessiot theory
G. Duchamp, Viincel Hoang Ngoc Minh, Vu Nguyen Dinh +1
A Chen generating series, along a path and with respect to differential forms,is a noncommutative series on letters and with coefficients which are holomorphic functionsove…
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 selection-quotient process for packed word Hopf algebra
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…
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…
Finite Decomposition Semigroups
Matthieu Deneufchâtel, Gérard H. E. Duchamp
In this paper, we explain the importance of finite decomposition semigroups and present two theorems related to their structure.