Geodesic
Path homology of directed hypergraphs
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 347-363.

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

We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. Also, we investigate the functoriality and the homotopy invariance of the introduced path homology groups.We provide examples of computation of these homology groups.
DOI : 10.4310/HHA.2022.v24.n2.a18
Classification : 05C20, 05C22, 05C25, 05C65, 55N35, 55U05
Keywords: path complex, directed hypergraph, path homology, digraph, homotopy of a directed hypergraph 
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Yuri Muranov; Anna Szczepkowska; Vladimir Vershinin. Path homology of directed hypergraphs. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 347-363. doi : 10.4310/HHA.2022.v24.n2.a18. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a18/

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