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

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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.
17 pages, 4 figures

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Quantum Algebra, 16W30; 05C20;05C90

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http://salesiana.dossiersoluciones.com/handle/123456789/64897

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209108
 http://arxiv.org/abs/math/0209108

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arXiv