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...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2003 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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 |