A proof of the Stanley--Stembridge conjecture

Tatsuyuki Hikita

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arXiv · 2410.12758

A proof of the Stanley--Stembridge conjecture

Tatsuyuki Hikita

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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.

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Tatsuyuki Hikita. 2025-12-25. A proof of the Stanley--Stembridge conjecture. https://arxiv.org/abs/2410.12758

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