Homology of Digraphs
Grigoryan A, Muranov YV, Jimenez R (2021)
Mathematical Notes volume 109(5-6): 712-726.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Grigoryan, AlexanderUniBi;
Muranov, Yu. V.;
Jimenez, R.
Einrichtung
Abstract / Bemerkung
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.
Stichworte
homology of digraphs;
singular cubic homology;
path homology;
cubic;
graphs
Erscheinungsjahr
2021
Zeitschriftentitel
Mathematical Notes volume
Band
109
Ausgabe
5-6
Seite(n)
712-726
ISSN
0001-4346
eISSN
1573-8876
Page URI
https://pub.uni-bielefeld.de/record/2956282
Zitieren
Grigoryan A, Muranov YV, Jimenez R. Homology of Digraphs. Mathematical Notes volume. 2021;109(5-6):712-726.
Grigoryan, A., Muranov, Y. V., & Jimenez, R. (2021). Homology of Digraphs. Mathematical Notes volume, 109(5-6), 712-726. https://doi.org/10.1134/S0001434621050059
Grigoryan, Alexander, Muranov, Yu. V., and Jimenez, R. 2021. “Homology of Digraphs”. Mathematical Notes volume 109 (5-6): 712-726.
Grigoryan, A., Muranov, Y. V., and Jimenez, R. (2021). Homology of Digraphs. Mathematical Notes volume 109, 712-726.
Grigoryan, A., Muranov, Y.V., & Jimenez, R., 2021. Homology of Digraphs. Mathematical Notes volume, 109(5-6), p 712-726.
A. Grigoryan, Y.V. Muranov, and R. Jimenez, “Homology of Digraphs”, Mathematical Notes volume, vol. 109, 2021, pp. 712-726.
Grigoryan, A., Muranov, Y.V., Jimenez, R.: Homology of Digraphs. Mathematical Notes volume. 109, 712-726 (2021).
Grigoryan, Alexander, Muranov, Yu. V., and Jimenez, R. “Homology of Digraphs”. Mathematical Notes volume 109.5-6 (2021): 712-726.
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