Algebraic flow theory of infinite graphs
Combinatorics
2016-12-26 v3
Abstract
A problem by Diestel is to extend algebraic flow theory of finite graphs to infinite graphs with ends. In order to pursue this problem, we define an A-flow and non-elusive H-flow for arbitrary graphs and for abelian topological Hausdorff groups H and compact subsets A of H. We use these new definitions to extend several well-known theorems of flows in finite graphs to infinite graphs.
Keywords
Cite
@article{arxiv.1508.02872,
title = {Algebraic flow theory of infinite graphs},
author = {Babak Miraftab and Javad Moghadamzadeh},
journal= {arXiv preprint arXiv:1508.02872},
year = {2016}
}