Foster Tom

activity

20172026

most citedA horizontal-strip LLT polynomial is determined by its weighted graph

1 citations · 2 across the 11 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.CO2024

Adjacent cycle-chains are $e$ -positive

Foster Tom, Aarush Vailaya

We describe a way to decompose the chromatic symmetric function as a positive sum of smaller pieces. We show that these pieces are $e$ -positive for cycles. Then we prove that attac…

math.CO2024

Graphs missing a connected partition

Foster Tom

We prove that a graph with a cut vertex whose deletion produces at least five connected components must be missing a connected partition of some type. We prove that this also holds…

math.CO2024

Chromatic symmetric functions and change of basis

Bruce E. Sagan, Foster Tom

We prove necessary conditions for certain elementary symmetric functions, $e_{λ}$ , to appear with nonzero coefficient in Stanley's chromatic symmetric function as well as in the gene…

Adjacent cycle-chains are e-positive

Graphs missing a connected partition

Chromatic symmetric functions and change of basis

Adjacent cycle-chains are $e$ -positive