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arxiv: 1207.2834 · v4 · pith:S5N5OI3Hnew · submitted 2012-07-12 · 🧮 math.CO · math.AT

Homologies of path complexes and digraphs

classification 🧮 math.CO math.AT
keywords pathcomplexcomplexesdigraphsnotioncohomologycomesconsidering
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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.

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