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arXiv · 2109.09842

Path homology of directed hypergraphs

Yuri Muranov·Anna Szczepkowska·Vladimir Vershinin
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Abstract

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.

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Yuri Muranov, Anna Szczepkowska, Vladimir Vershinin. 2021-09-20. Path homology of directed hypergraphs. https://arxiv.org/abs/2109.09842

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