Differential algebras on digraphs and parametrized homology
Combinatorics
2023-05-17 v3
Abstract
The theory of path homology for digraphs was developed by Alexander Grigor'yan, Yong Lin, Yuri Muranov, and Shing-Tung Yau. In this paper, we consider the differential algebras on digraphs and define the parametrized homology of digraphs as an analog of the path homology. We prove the functoriality of the parametrized homology of digraphs in Theorem 4.2. We also prove some Kunneth-type formulae for the parametrized homology of digraphs in Theorem 4.4.
Keywords
Cite
@article{arxiv.2103.15870,
title = {Differential algebras on digraphs and parametrized homology},
author = {Shiquan Ren and Chong Wang},
journal= {arXiv preprint arXiv:2103.15870},
year = {2023}
}
Comments
second version