English

A short proof of Kotzig's theorem

Combinatorics 2014-02-06 v1

Abstract

A new shortest proof of Kotzig's Theorem about graphs with unique perfect matching is presented in this paper. It is well known that Kotzig's theorem is a consequence of Yeo's Theorem about edge-colored graph without alternating cycle. We present a proof of Yeo's Theorem based on the same ideas as our proof of Kotzig's theorem.

Keywords

Cite

@article{arxiv.1402.0949,
  title  = {A short proof of Kotzig's theorem},
  author = {Gleb Nenashev},
  journal= {arXiv preprint arXiv:1402.0949},
  year   = {2014}
}

Comments

3 pages, 2 figures

R2 v1 2026-06-22T03:01:40.576Z