Quillen model structures on the category of graphs

2012/09/12 by Droz, Jean-Marie
#05C25 #18G55 #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1209.2699

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.

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