English

On lower bounds for the matching number of subcubic graphs

Combinatorics 2016-05-17 v2

Abstract

We give a complete description of the set of triples (a,b,c) of real numbers with the following property. There exists a constant K such that a n_3 + b n_2 + c n_1 - K is a lower bound for the matching number of every connected subcubic graph G, where n_i denotes the number of vertices of degree i for each i.

Keywords

Cite

@article{arxiv.1406.7227,
  title  = {On lower bounds for the matching number of subcubic graphs},
  author = {Penny Haxell and Alex Scott},
  journal= {arXiv preprint arXiv:1406.7227},
  year   = {2016}
}