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

Philippe Leroux
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Abstract

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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BibTeXRIS

Philippe Leroux. 2003-02-05. Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras. https://arxiv.org/abs/math/0209108

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