English

Some bounds on the uniquely restricted matching number

Combinatorics 2018-04-30 v2

Abstract

A matching in a graph is uniquely restricted if no other matching covers exactly the same set of vertices. We establish tight lower bounds on the maximum size of a uniquely restricted matching in terms of order, size, and maximum degree.

Keywords

Cite

@article{arxiv.1803.11032,
  title  = {Some bounds on the uniquely restricted matching number},
  author = {M. Fürst and D. Rautenbach},
  journal= {arXiv preprint arXiv:1803.11032},
  year   = {2018}
}
R2 v1 2026-06-23T01:08:44.867Z