%0 Journal Article
%T Homologies of path complexes and digraphs
%A Alexander Grigor'yan
%A Yong Lin
%A Yuri Muranov
%A Shing-Tung Yau
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1207.2834v4