K. Celano

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20232026

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-positivity of the chromatic symmetric function for twinned paths and cycles

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math.CO2026

Principal specializations of the $t$ -chromatic symmetric function

Aram Bingham, Kyle Celano, Patricia Commins +3

We introduce the $t$ -chromatic symmetric function $Z_{G} (x; t)$ , a variant of Stanley's chromatic symmetric function in which the variable $t$ records the number of distinct…

math.CO2026

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Kyle Celano, Brendon Rhoades

A partial permutation of $[n] := {1, \dots, n}$ is a bijection $g : I \to J$ between two subsets $I, J \subseteq [n]$ . Given a partial permutation $g$ of $[n]$ , let $a_g \in \mathbb{…

Principal specializations of the t-chromatic symmetric function

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Principal specializations of the $t$ -chromatic symmetric function