Flows in Graphs and Homology of Free Categories

Details Flows in Graphs and Homology of Free Categories Flows in Graphs and Homology of Free Categories

2001-06-18

arxiv.org/abs/math/0106146v1

Algebra Discrete Math., 2003, N 2. P.36-46

Mathematics

Category Theory

11 pages, LaTeX2e

Scientific paper

We introduce the notion of a generalized flow on a graph with coefficients in
a R-representation and show that the module of flows is isomorphic to the first
derived functor of the colimit. We generalize Kirchhoff's laws and build an
exact sequence for calculating the module of flows on the union of graphs.

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