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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 , we consider proper integer colorings of a graph for which the closed an…
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 -labeling of a graph is called a closed coloring with remainder if the closed neighborhood label sum of ea…