English

Paley-like graphs for the Ramsey number $r(C_4,K_t)$

Combinatorics 2021-08-23 v2

Abstract

An earlier version of this paper constructed a family of nn-vertex C4C_4-free graphs which we conjectured to have independence number n12+o(1)n^{\frac 12+o(1)}. This conjecture is false, as pointed out by Michael Tait.

Keywords

Cite

@article{arxiv.2108.08753,
  title  = {Paley-like graphs for the Ramsey number $r(C_4,K_t)$},
  author = {Yuval Wigderson},
  journal= {arXiv preprint arXiv:2108.08753},
  year   = {2021}
}

Comments

Retraction of the previous version, since the main conjecture proposed there is false