English

A survey of degree-boundedness

Combinatorics 2024-11-14 v2

Abstract

Suppose a graph has no large balanced bicliques, but has large minimum degree. Then what can we say about its induced subgraphs? This question motivates the study of degree-boundedness, which is like χ\chi-boundedness but for minimum degree instead of chromatic number. We survey this area with an eye towards open problems.

Keywords

Cite

@article{arxiv.2403.05737,
  title  = {A survey of degree-boundedness},
  author = {Xiying Du and Rose McCarty},
  journal= {arXiv preprint arXiv:2403.05737},
  year   = {2024}
}