Homologies of path complexes and digraphs
Combinatorics
2013-05-14 v4 Algebraic Topology
Abstract
In this paper we introduce a path complex that can be regarded as a generalization of the notion of a simplicial complex. The main motivation for considering path complexes comes from directed graphs(digraphs). We obtain a new notion of the path homology and cohomology of a digraph.
Cite
@article{arxiv.1207.2834,
title = {Homologies of path complexes and digraphs},
author = {Alexander Grigor'yan and Yong Lin and Yuri Muranov and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1207.2834},
year = {2013}
}
Comments
88 pages, 37 figures