English

Ramsey, expanders, and Borel chromatic numbers

Logic 2022-05-05 v1 Combinatorics Probability

Abstract

We construct bounded degree acyclic Borel graphs with large Borel chromatic number using a graph arising from Ramsey theory and limits of expander sequences.

Keywords

Cite

@article{arxiv.2205.01839,
  title  = {Ramsey, expanders, and Borel chromatic numbers},
  author = {Jan Grebík and Zoltán Vidnyánszky},
  journal= {arXiv preprint arXiv:2205.01839},
  year   = {2022}
}
R2 v1 2026-06-24T11:06:35.348Z