Geodesic
Quillen model structures on the category of graphs
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 265-284.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2012.v14.n2.a14
Classification : 05C25, 05C75, 55U35
Keywords: model category, graph theory 
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Jean-Marie Droz. Quillen model structures on the category of graphs. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 265-284. doi : 10.4310/HHA.2012.v14.n2.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a14/

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