English

A new lower bound for eternal vertex cover number

Discrete Mathematics 2020-07-07 v2

Abstract

We obtain a new lower bound for the eternal vertex cover number of an arbitrary graph GG, in terms of the cardinality of a vertex cover of minimum size in GG containing all its cut vertices. The consequences of the lower bound includes a quadratic time algorithm for computing the eternal vertex cover number of chordal graphs.

Keywords

Cite

@article{arxiv.1910.05042,
  title  = {A new lower bound for eternal vertex cover number},
  author = {Jasine Babu and Veena Prabhakaran},
  journal= {arXiv preprint arXiv:1910.05042},
  year   = {2020}
}