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

  • Anna Szczepkowska

    University of Warmia and Mazury in Olsztyn, Poland

  • Vladimir Vershinin

    Université de Montpellier, France; Sobolev Institute of Mathematics, Novosibirsk, Russia
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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