Path homology of directed hypergraphs
Yu. V. Muranov, Anna Szczepkowska, Vladimir Valentinovich Vershinin · Homology Homotopy and Applications · 2022
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.