e-Positive Partitions for Chromatic Symmetric Functions

Abstract We show that the partitions that always appear with nonnegative e -coefficients in chromatic symmetric functions of finite graphs are precisely the hook partitions.

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Publication Details

Journal
Annals of Combinatorics
Published
2026-09-21
DOI
https://doi.org/10.1007/s00026-026-00855-5
Primary Topic
Advanced Combinatorial Mathematics
Type
article
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article

e-Positive Partitions for Chromatic Symmetric Functions

Noah Kravitz
Annals of Combinatorics
Advanced Combinatorial Mathematics
article

e-Positive Partitions for Chromatic Symmetric Functions

Noah Kravitz
article en

Abstract

Abstract We show that the partitions that always appear with nonnegative e -coefficients in chromatic symmetric functions of finite graphs are precisely the hook partitions.

Annals of Combinatorics
Mathematical Institute of the Slovak Academy of Sciences (SK), St. John's College (US)
Reduced inequalities
Openalex Percentile: Top 35%
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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e-Positive Partitions for Chromatic Symmetric Functions — Noah Kravitz · Annals of Combinatorics (2026) | TGRS Research Map | TGRS