English

Stability for maximal independent sets

Combinatorics 2018-08-22 v1

Abstract

Answering questions of Y. Rabinovich, we prove "stability" versions of upper bounds on maximal independent set counts in graphs under various restrictions. Roughly these say that being close to the maximum implies existence of a large induced matching or triangle matching (depending on assumptions).

Keywords

Cite

@article{arxiv.1808.06666,
  title  = {Stability for maximal independent sets},
  author = {Jeff Kahn and Jinyoung Park},
  journal= {arXiv preprint arXiv:1808.06666},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-23T03:38:53.446Z