English

Two lower bounds for maximum matching

Combinatorics 2024-05-30 v1

Abstract

In this paper, we prove two lower bounds for the maximum matching size in an arbitrary undirected graph. Despite their simplicity, these results are not widely known. This article aims to bring pleasure to the reader by giving short combinatorial proofs of these easy-to-state estimates.

Keywords

Cite

@article{arxiv.2405.18446,
  title  = {Two lower bounds for maximum matching},
  author = {Fedor Kuyanov},
  journal= {arXiv preprint arXiv:2405.18446},
  year   = {2024}
}
R2 v1 2026-06-28T16:44:31.344Z