Mary Claire Simone

activity

20222026

most citedPromotion and growth diagrams for fans of Dyck paths and vacillating tableaux

4 citations · 4 across the 2 of their papers we have counts for

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3 papers · 1 filter

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.CO2024

The immersion poset on partitions

Lisa Johnston, David Kenepp, Evuilynn Nguyen +4

We introduce the immersion poset $(P (n), ⩽_{I})$ on partitions, defined by $λ ⩽_{I} μ$ if and only if $s_{μ} (x_{1}, \dots, x_{N}) - s_{λ} (x_{1}, \dots, x_{N})$ is monomi…

math.CO2022★ 4 cited

Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux

Joseph Pappe, Stephan Pfannerer, Anne Schilling +1

We construct an injection from the set of $r$ -fans of Dyck paths (resp. vacillating tableaux) of length $n$ into the set of chord diagrams on $[n]$ that intertwines promotion and r…

Principal specializations of the t-chromatic symmetric function

The immersion poset on partitions

Promotion and growth diagrams for fans of Dyck paths and vacillating tableaux

Principal specializations of the $t$ -chromatic symmetric function