Homology of weighted path complexes and directed hypergraphs
Algebraic Topology
2022-04-19 v1 Combinatorics
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.
Cite
@article{arxiv.2204.07813,
title = {Homology of weighted path complexes and directed hypergraphs},
author = {Y. Muranov and A. Szczepkowska and V. Vershinin},
journal= {arXiv preprint arXiv:2204.07813},
year = {2022}
}
Comments
15 pages