English

5-cycles and the Petersen graph

Discrete Mathematics 2008-01-25 v1

Abstract

We show that if G is a connected bridgeless cubic graph whose every 2-factor is comprised of cycles of length five then G is the Petersen graph.

Cite

@article{arxiv.0801.3714,
  title  = {5-cycles and the Petersen graph},
  author = {Matt DeVos and Vahan V. Mkrtchyan and Samvel S. Petrosyan},
  journal= {arXiv preprint arXiv:0801.3714},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:05:59.100Z