English

List total coloring of pseudo-outerplanar graphs

Combinatorics 2013-04-24 v1 Discrete Mathematics

Abstract

A graph is pseudo-outerplanar if each of its blocks has an embedding in the plane so that the vertices lie on a fixed circle and the edges lie inside the disk of this circle with each of them crossing at most one another. It is proved that every pseudo-outerplanar graph with maximum degree \Delta\geq 5 is totally (\Delta+1)-choosable.

Keywords

Cite

@article{arxiv.1304.6266,
  title  = {List total coloring of pseudo-outerplanar graphs},
  author = {Xin Zhang},
  journal= {arXiv preprint arXiv:1304.6266},
  year   = {2013}
}
R2 v1 2026-06-22T00:04:48.436Z