Nowhere-zero 5-flows on cubic graphs with oddness 4
Combinatorics
2014-12-18 v1
Abstract
Tutte's 5-Flow Conjecture from 1954 states that every bridgeless graph has a nowhere-zero 5-flow. In 2004, Kochol proved that the conjecture is equivalent to its restriction on cyclically 6-edge connected cubic graphs. We prove that every cyclically 6-edge-connected cubic graph with oddness at most 4 has a nowhere-zero 5-flow.
Keywords
Cite
@article{arxiv.1412.5398,
title = {Nowhere-zero 5-flows on cubic graphs with oddness 4},
author = {Giuseppe Mazzuoccolo and Eckhard Steffen},
journal= {arXiv preprint arXiv:1412.5398},
year = {2014}
}
Comments
10 pages, 1 figure, submitted