Colouring simplicial complexes via the Lechuga-Murillo's model
Algebraic Topology
2020-05-14 v2 Combinatorics
Abstract
L. Lechuga and A. Murillo showed that a non-oriented, simple, connected, finite graph is -colourable if and only if a certain pure Sullivan algebra associated to and is not elliptic. In this paper, we extend this result to simplicial complexes by means of several notions of colourings of these objects.
Cite
@article{arxiv.1610.07174,
title = {Colouring simplicial complexes via the Lechuga-Murillo's model},
author = {David Méndez},
journal= {arXiv preprint arXiv:1610.07174},
year = {2020}
}
Comments
7 pages. The article has been rewritten following the comments of a referee, to whom I am grateful for their feedback which helped greatly improve the presentation of this work. To appear in Appl. Algebra Engrg. Comm. Comput