Quillen model structures on the category of graphs

Published 12 Sep 2012 in math.CO and math.CT | (1209.2699v1)

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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Authors (1)

Jean-Marie Droz

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