A proof of the Stanley--Stembridge conjecture
Combinatorics
2025-12-29 v2 Representation Theory
Abstract
We give a probabilistic interpretation of the coefficients of the elementary symmetric function expansion of the chromatic quasisymmetric function for any unit interval graph. As a corollary, we prove the Stanley--Stembridge conjecture.
Cite
@article{arxiv.2410.12758,
title = {A proof of the Stanley--Stembridge conjecture},
author = {Tatsuyuki Hikita},
journal= {arXiv preprint arXiv:2410.12758},
year = {2025}
}
Comments
40 pages, Included a survey of related topics and improved the presentation of the proofs