Sidorenko property and forcing in regular tournaments
Combinatorics
2026-02-16 v1
Abstract
We give a complete characterization of tournaments H that have the Sidorenko property with respect to nearly regular tournaments, i.e., the homomorphism density of H among all nearly regular tournaments is minimized by a random tournament. Corollaries of our result are a positive answer to the question of Noel, Ranganathan and Simbaqueba whether there exist infinitely many non-transitive tournaments that are quasirandom forcing for nearly regular tournaments, and a negative answer to their question whether almost every tournament is quasirandom forcing for nearly regular tournaments.
Keywords
Cite
@article{arxiv.2602.12551,
title = {Sidorenko property and forcing in regular tournaments},
author = {Daniel Král' and Matjaž Krnc and Filip Kučerák and Bernard Lidický and Jan Volec},
journal= {arXiv preprint arXiv:2602.12551},
year = {2026}
}