Flows in Graphs and Homology of Free Categories
Category Theory
2023-06-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0106146,
title = {Flows in Graphs and Homology of Free Categories},
author = {A. A. Husainov and H. Calisici},
journal= {arXiv preprint arXiv:math/0106146},
year = {2023}
}
Comments
11 pages, LaTeX2e