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math.CO2023
An Extension of Stanley's Symmetric Acyclicity Theorem to Signed Graphs
Oscar Coppola, Jake Huryn, Michael Reilly
In 1995, Richard Stanley introduced the chromatic symmetric function of a graph and proved that, when written in terms of the elementary symmetric functions, it reveals t…
math.CO2020
Discordant sets and ergodic Ramsey theory
Vitaly Bergelson, Jake Huryn, Rushil Raghavan
We explore the properties of non-piecewise syndetic sets with positive upper density, which we call "discordant", in countably infinite amenable (semi)groups. Sets of this kind are…