Path homology of directed hypergraphs
Algebraic Topology
2021-09-22 v1 Combinatorics
Abstract
We describe various path homology theories constructed for a directed hypergraph. We introduce the category of directed hypergraphs and the notion of a homotopy in this category. Also, we investigate the functoriality and the homotopy invariance of the introduced path homology groups. We provide examples of computation of these homology groups.
Cite
@article{arxiv.2109.09842,
title = {Path homology of directed hypergraphs},
author = {Yuri Muranov and Anna Szczepkowska and Vladimir Vershinin},
journal= {arXiv preprint arXiv:2109.09842},
year = {2021}
}
Comments
19 pages