Nowhere-zero 3-flows in graphs admitting solvable arc-transitive groups of automorphisms
Combinatorics
2014-05-27 v3
Abstract
Tutte's 3-flow conjecture asserts that every 4-edge-connected graph has a nowhere-zero 3-flow. In this note we prove that every regular graph of valency at least four admitting a solvable arc-transitive group of automorphisms admits a nowhere-zero 3-flow.
Keywords
Cite
@article{arxiv.1310.5317,
title = {Nowhere-zero 3-flows in graphs admitting solvable arc-transitive groups of automorphisms},
author = {Xiangwen Li and Sanming Zhou},
journal= {arXiv preprint arXiv:1310.5317},
year = {2014}
}
Comments
This is the final version to be published in: Ars Mathematica Contemporanea (http://amc-journal.eu/index.php/amc)