On homology theories of cubical digraphs
Grigoryan A, Muranov Y (2023)
Pacific Journal of Mathematics 322(1): 39–58.
Zeitschriftenaufsatz
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Autor*in
Grigoryan, AlexanderUniBi;
Muranov, Yuri
Einrichtung
Abstract / Bemerkung
We prove the equivalence of the singular cubical homology and the path homology on the category of cubical digraphs. As a corollary we obtain a new relation between the singular cubical homology of digraphs and simplicial homology.
Stichworte
homology of digraphs;
equivalence of homology theories;
path homology;
theory;
singular cubical homology theory;
cubical digraph;
paths in;
digraphs
Erscheinungsjahr
2023
Zeitschriftentitel
Pacific Journal of Mathematics
Band
322
Ausgabe
1
Seite(n)
39–58
ISSN
0030-8730
eISSN
1945-5844
Page URI
https://pub.uni-bielefeld.de/record/2979994
Zitieren
Grigoryan A, Muranov Y. On homology theories of cubical digraphs. Pacific Journal of Mathematics. 2023;322(1):39–58.
Grigoryan, A., & Muranov, Y. (2023). On homology theories of cubical digraphs. Pacific Journal of Mathematics, 322(1), 39–58. https://doi.org/10.2140/pjm.2023.322.39
Grigoryan, Alexander, and Muranov, Yuri. 2023. “On homology theories of cubical digraphs”. Pacific Journal of Mathematics 322 (1): 39–58.
Grigoryan, A., and Muranov, Y. (2023). On homology theories of cubical digraphs. Pacific Journal of Mathematics 322, 39–58.
Grigoryan, A., & Muranov, Y., 2023. On homology theories of cubical digraphs. Pacific Journal of Mathematics, 322(1), p 39–58.
A. Grigoryan and Y. Muranov, “On homology theories of cubical digraphs”, Pacific Journal of Mathematics, vol. 322, 2023, pp. 39–58.
Grigoryan, A., Muranov, Y.: On homology theories of cubical digraphs. Pacific Journal of Mathematics. 322, 39–58 (2023).
Grigoryan, Alexander, and Muranov, Yuri. “On homology theories of cubical digraphs”. Pacific Journal of Mathematics 322.1 (2023): 39–58.
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