Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras
Quantum Algebra
2007-05-23 v4
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.
Keywords
Cite
@article{arxiv.math/0209108,
title = {Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras},
author = {Philippe Leroux},
journal= {arXiv preprint arXiv:math/0209108},
year = {2007}
}
Comments
17 pages, 4 figures