Flows in graphs and the homology of free categories

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• ISSN: 1726-3255
• Main Authors: Husainov, A.A., Calısıcı, H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155701
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 exa...