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Publications (2)

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…