English

On generalized choice and coloring numbers

Combinatorics 2019-02-27 v3

Abstract

A well-known result of Alon shows that the coloring number of a graph is bounded by a function of its choosability. We explore this relationship in a more general setting with relaxed assumptions on color classes, encoded by a graph parameter.

Keywords

Cite

@article{arxiv.1801.06824,
  title  = {On generalized choice and coloring numbers},
  author = {Zdeněk Dvořák and Jakub Pekárek and Jean-Sébastien Sereni},
  journal= {arXiv preprint arXiv:1801.06824},
  year   = {2019}
}

Comments

17 pages, 2 figures

R2 v1 2026-06-22T23:51:08.866Z