Nowhere-zero flows in signed series-parallel graphs
Combinatorics
2014-11-10 v1
Abstract
Bouchet conjectured in 1983 that each signed graph that admits a nowhere-zero flow has a nowhere-zero 6-flow. We prove that the conjecture is true for all signed series-parallel graphs. Unlike the unsigned case, the restriction to series-parallel graphs is nontrivial; in fact, the result is tight for infinitely many graphs.
Keywords
Cite
@article{arxiv.1411.1788,
title = {Nowhere-zero flows in signed series-parallel graphs},
author = {Tomáš Kaiser and Edita Rollová},
journal= {arXiv preprint arXiv:1411.1788},
year = {2014}
}