English

A note on the largest induced matching in graphs avoiding a fixed bipartite graph

Combinatorics 2020-09-22 v2

Abstract

We give a simple proof that every nn-vertex graph dd-regular graph that does not contain a fixed bipartite graph as a subgraph has an induced matching of size Ω((n/d)(logd))\Omega((n/d)(\log d)).

Keywords

Cite

@article{arxiv.2006.03225,
  title  = {A note on the largest induced matching in graphs avoiding a fixed bipartite graph},
  author = {Ben Lund and Daniel Reichman},
  journal= {arXiv preprint arXiv:2006.03225},
  year   = {2020}
}
R2 v1 2026-06-23T16:04:34.360Z