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arXiv · 2408.14455

Chromatic quasisymmetric functions of the path graph

Farid Aliniaeifard·Shamil Asgarli·Maria Esipova·Ethan Shelburne·Stephanie van Willigenburg·Tamsen Whitehead
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Abstract

We show that the chromatic quasisymmetric function (CQF) of a labeled path graph on $n$ vertices is not symmetric unless the labeling is the natural labeling $1, 2, ..., n$ or its reverse $n, ..., 2, 1$. We also show that the star graph $K_{1, n-1}$ with $n\geq 3$ has a nonsymmetric CQF for all labelings.

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Farid Aliniaeifard, Shamil Asgarli, Maria Esipova, Ethan Shelburne, Stephanie van Willigenburg, Tamsen Whitehead. 2025-02-28. Chromatic quasisymmetric functions of the path graph. https://arxiv.org/abs/2408.14455

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