Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras

Details Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras

2002-09-10

arxiv.org/abs/math/0209108v4

Mathematics

Quantum Algebra

17 pages, 4 figures

Scientific paper

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 constructions of cubical trialgebras, (notion
defined by J-L. Loday and M. Ronco) are given. We also obtain splitting of
associative products into several ones.

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