Noah Kravitz

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20242026

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math.CO2026

$e$ -positive partitions for chromatic symmetric functions

Noah Kravitz

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

math.CO2026

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa

Noah Kravitz

Extending a little-known construction of Ruzsa, we characterize the quadruples $(s, t, u, v)$ of nonnegative integers such that the inequality $∣ s A - t A ∣ \leq ∣ u A - v A ∣$ holds for all fin…

math.CO2026

Gap sets of random generalized numerical semigroups

Veronica Bitonti, Noah Kravitz

For a fixed positive integer $d$ and a small real $p > 0$ , sample a $p$ -random subset $A \subseteq Z_{\geq 0}^{d}$ , and let $S := ⟨ A ⟩$ be the generalized numerical…

e-positive partitions for chromatic symmetric functions

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa

Gap sets of random generalized numerical semigroups

$e$ -positive partitions for chromatic symmetric functions