Homologies of path complexes and digraphs
Alexander Asaturovich Grigor'yan, Yong Wen Lin, Yu. V. Muranov, Shing‐Tung Yau · arXiv (Cornell University) · 2012
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.