English

Twin-width and generalized coloring numbers

Combinatorics 2021-04-20 v1

Abstract

In this paper, we prove that a graph GG with no Ks,sK_{s,s}-subgraph and twin-width dd has rr-admissibility and rr-coloring numbers bounded from above by an exponential function of rr and that we can construct graphs achieving such a dependency in rr.

Keywords

Cite

@article{arxiv.2104.09360,
  title  = {Twin-width and generalized coloring numbers},
  author = {Jan Dreier and Jakub Gajarsky and Yiting Jiang and Patrice Ossona de Mendez and Jean-Florent Raymond},
  journal= {arXiv preprint arXiv:2104.09360},
  year   = {2021}
}
R2 v1 2026-06-24T01:19:54.370Z