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papers

Publications (3)

math.DS2025

Shadowing With Small Diameter Sets Of Bounded Cardinality

Jonathan Meddaugh, Elyssa Stephens

We examine dynamical systems with the property that pseudo-orbits can be traced by small diameter sets with bounded cardinality. In particular, we show that mixing sofic subshifts…

math.CO2025

Chromatic numbers with closed local modular constraints

Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9

Generalizing the notion of odd-sum colorings, a $Z$ -labeling of a graph $G$ is called a closed coloring with remainder $k mod n$ if the closed neighborhood label sum of ea…

math.CO2025

Chromatic numbers with open and nonzero local modular constraints

Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9

In this paper, we explore chromatic numbers subject to various local modular constraints. For fixed $n$ , we consider proper integer colorings of a graph $G$ for which the closed an…