Flows in graphs and the homology of free categories
We study the R−module of generalized flows in a graph with coefficients in the R−representation of the graph over a ring R with 1 and show that this R−module is isomorphic to the first derived functor of the colimit. We generalize Kirchhoff’s laws and build an exact sequence for calculating the...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2003 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155701 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Flows in graphs and the homology of free categories / A.A. Husainov, H. Calısıcı // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 36–46. — Бібліогр.: 8 назв. — англ. |
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Husainov, A.A. Calısıcı, H. 2019-06-17T10:56:23Z 2019-06-17T10:56:23Z 2003 Flows in graphs and the homology of free categories / A.A. Husainov, H. Calısıcı // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 36–46. — Бібліогр.: 8 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 18G10, 68R10. https://nasplib.isofts.kiev.ua/handle/123456789/155701 We study the R−module of generalized flows in a graph with coefficients in the R−representation of the graph over a ring R with 1 and show that this R−module is isomorphic to the first derived functor of the colimit. We generalize Kirchhoff’s laws and build an exact sequence for calculating the R−module of flows in the union of graphs. Research is supported by RF grant center at Novosibirsk State University in Russia and by TUB¨ ˙ITAK and NATO in Turkey en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Flows in graphs and the homology of free categories Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Flows in graphs and the homology of free categories |
| spellingShingle |
Flows in graphs and the homology of free categories Husainov, A.A. Calısıcı, H. |
| title_short |
Flows in graphs and the homology of free categories |
| title_full |
Flows in graphs and the homology of free categories |
| title_fullStr |
Flows in graphs and the homology of free categories |
| title_full_unstemmed |
Flows in graphs and the homology of free categories |
| title_sort |
flows in graphs and the homology of free categories |
| author |
Husainov, A.A. Calısıcı, H. |
| author_facet |
Husainov, A.A. Calısıcı, H. |
| publishDate |
2003 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We study the R−module of generalized flows in a
graph with coefficients in the R−representation of the graph over
a ring R with 1 and show that this R−module is isomorphic to the
first derived functor of the colimit. We generalize Kirchhoff’s laws
and build an exact sequence for calculating the R−module of flows
in the union of graphs.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155701 |
| citation_txt |
Flows in graphs and the homology of free categories / A.A. Husainov, H. Calısıcı // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 2. — С. 36–46. — Бібліогр.: 8 назв. — англ. |
| work_keys_str_mv |
AT husainovaa flowsingraphsandthehomologyoffreecategories AT calısıcıh flowsingraphsandthehomologyoffreecategories |
| first_indexed |
2025-12-07T20:40:51Z |
| last_indexed |
2025-12-07T20:40:51Z |
| _version_ |
1850883495180632064 |