English

Paradoxical decompositions and finitary colouring rules

Combinatorics 2022-11-11 v1

Abstract

We define "paradoxical colouring rule", show its relation to measure theoretic paradoxes, and demonstrate that proper vertex colouring can be a paradoxical colouring rule.

Keywords

Cite

@article{arxiv.2211.05126,
  title  = {Paradoxical decompositions and finitary colouring rules},
  author = {Robert Samuel Simon and Grzegorz Tomkowicz},
  journal= {arXiv preprint arXiv:2211.05126},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1805.10225

R2 v1 2026-06-28T05:32:42.475Z