Quillen model structures on the category of graphs
Combinatorics
2012-09-13 v1 Category Theory
Abstract
We present different ways of endowing a particular category of graphs with Quillen model structures. We show, among other things, that the core of a graph can be seen as its homotopy type in an appropriate Quillen model structure, and that an infinity of Quillen model structures exist for our particular category of graphs.
Cite
@article{arxiv.1209.2699,
title = {Quillen model structures on the category of graphs},
author = {Jean-Marie Droz},
journal= {arXiv preprint arXiv:1209.2699},
year = {2012}
}
Comments
Article accepted for publication by "Homology, Homotopy and Applications"