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. 
@article{MZM_2021_109_5_a4,
     author = {A. A. Grigor'yan and Yu. V. Muranov and R. B. Jimenez},
     title = {Homology of {Digraphs}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {705--722},
     publisher = {mathdoc},
     volume = {109},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a4/}
}
TY  - JOUR
AU  - A. A. Grigor'yan
AU  - Yu. V. Muranov
AU  - R. B. Jimenez
TI  - Homology of Digraphs
JO  - Matematičeskie zametki
PY  - 2021
SP  - 705
EP  - 722
VL  - 109
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a4/
LA  - ru
ID  - MZM_2021_109_5_a4
ER  - 
%0 Journal Article
%A A. A. Grigor'yan
%A Yu. V. Muranov
%A R. B. Jimenez
%T Homology of Digraphs
%J Matematičeskie zametki
%D 2021
%P 705-722
%V 109
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2021_109_5_a4/
%G ru
%F MZM_2021_109_5_a4
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/