English

Domination and independence number of large $2$-crossing-critical graphs

Combinatorics 2022-03-24 v1

Abstract

After 22-crossing-critical graphs were characterized in 2016, their most general subfamily, large 33-connected 22-crossing-critical graphs, has attracted separate attention. This paper presents sharp upper and lower bounds for their domination and independence number.

Keywords

Cite

@article{arxiv.2203.12206,
  title  = {Domination and independence number of large $2$-crossing-critical graphs},
  author = {Vesna Iršič and Maruša Lekše and Mihael Pačnik and Petra Podlogar and Martin Praček},
  journal= {arXiv preprint arXiv:2203.12206},
  year   = {2022}
}

Comments

18 pages, 15 figures