Work

A proof of the Stanley-Stembridge conjecture

Year: 2026

Type: article

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.

Source: Journal of the American Mathematical Society

DOI: 10.1090/jams/1090

Author: Tatsuyuki Hikita

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Symplectic algebraic geometry and moduli spaces, Representation theory of vertex algebras for the 21st century

OpenAlex ID: W4403582395

FWCI: 51.71

Cites: 20

Cited by: 52

Related to: 10