10 citations · 13 across the 4 of their papers we have counts for
4 papers
Generalized shuffles related to Nijenhuis and TD-algebras
K. Ebrahimi-Fard, P. Leroux
Shuffle and quasi-shuffle products are well-known in the mathematics literature. They are intimately related to Loday's dendriform algebras, and were extensively used to give expli…
Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras
Philippe Leroux
We construct via usual graph theory a class of associative dialgebras as well as a class of coassociative L-coalgebras. Tiling of the (n^2,1)-De bruijn graphs are also obtained and…
Commutativity and the third Reidemeister movement
Philippe Leroux
In quantum information theory, for two positive operators living in , where is a separable Hilbert space, the quantum fidelity is denoted by $a*…
Coassociativity breaking and oriented graphs
Philippe Leroux
This paper is an attempt to unify coassociative coalgebra theory and random walks on oriented graphs.