A proof of the Stanley--Stembridge conjecture
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914219344003072 |
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| author | Hikita, Tatsuyuki |
| author_facet | Hikita, Tatsuyuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A proof of the Stanley--Stembridge conjecture Hikita, Tatsuyuki Combinatorics Representation Theory 05C15, 05C30, 05E05 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. |
| title | A proof of the Stanley--Stembridge conjecture |
| topic | Combinatorics Representation Theory 05C15, 05C30, 05E05 |
| url | https://arxiv.org/abs/2410.12758 |