Homology of weighted path complexes and directed hypergraphs

Yuri Muranov; Anna Szczepkowska; Vladimir Vershinin

doi:10.4171/pm/2098

JournalspmVol. 80, No. 1/2pp. 67–80

Homology of weighted path complexes and directed hypergraphs

Yuri Muranov
University of Warmia and Mazury in Olsztyn, Poland
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- zbMATH Open
Anna Szczepkowska
University of Warmia and Mazury in Olsztyn, Poland
- MathSciNet
- zbMATH Open
Vladimir Vershinin
Université de Montpellier, France; Sobolev Institute of Mathematics, Novosibirsk, Russia
- MathSciNet
- zbMATH Open

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Abstract

We introduce the weighted path homology on the category of weighted directed hypergraphs and describe conditions of homotopy invariance of weighted path homology groups. We give several examples that explain the nontriviality of the introduced notions.

Cite this article

Yuri Muranov, Anna Szczepkowska, Vladimir Vershinin, Homology of weighted path complexes and directed hypergraphs. Port. Math. 80 (2023), no. 1/2, pp. 67–80

DOI 10.4171/PM/2098