Geodesic
Homology of Digraphs
Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 705-722.

Voir la notice de l'article provenant de la source Math-Net.Ru

A theory of singular cubic homology of digraphs is developed; the obtained homology groups are proved to be functorial and homotopy invariant. Commutative diagrams of exact sequences similar to the classical ones are constructed, and a relationship between the cubic homology and the path homology of a digraph is described. Carrying over the results to graphs, multigraphs, and quivers is discussed.
Keywords: homology of digraphs, singular cubic homology, path homology, cubic graphs. 
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A. A. Grigor'yan; Yu. V. Muranov; R. B. Jimenez. Homology of Digraphs. Matematičeskie zametki, Tome 109 (2021) no. 5, pp. 705-722. http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a4/

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