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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64897We 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 figuresQuantum Algebra16W30; 05C20;05C90Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebrastext