English

On the Cycle Space of a 3--Connected Graph

Combinatorics 2007-05-23 v1

Abstract

We give a simple proof of Tutte's theorem stating that the cycle space of a 3--connected graph is generated by the set of non-separating circuits of the graph. Keywords: graph, cycle, circuit, cycle space, non-separating circuit, strong isomorphism.

Keywords

Cite

@article{arxiv.math/0609219,
  title  = {On the Cycle Space of a 3--Connected Graph},
  author = {Alexander Kelmans},
  journal= {arXiv preprint arXiv:math/0609219},
  year   = {2007}
}
R2 v1 2026-07-22T17:42:07.596Z