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arXiv · 2204.07813

Homology of weighted path complexes and directed hypergraphs

Y. Muranov·A. Szczepkowska·V. Vershinin
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Abstract

We introduce the weighted path homology on the category of weigh\-ted 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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Y. Muranov, A. Szczepkowska, V. Vershinin. 2022-04-16. Homology of weighted path complexes and directed hypergraphs. https://arxiv.org/abs/2204.07813

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