Homology of weighted path complexes and directed hypergraphs

Homology of weighted path complexes and directed hypergraphs

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.

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Veröffentlicht in:Portugaliae mathematica 2023-01, Vol.80 (1), p.67-80
Hauptverfasser: Muranov, Yuri, Szczepkowska, Anna, Vershinin, Vladimir
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0032-5155
1662-2758
DOI:10.4171/pm/2098