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
Datum:2003
Hauptverfasser: Husainov, A.A., Calısıcı, H.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2003
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine