Publications (6)
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…
Chaotic and periodic behavior of jeu de taquin on infinite Young tableaux
Daniel Herden, Markus Hunziker, Jonathan Meddaugh +9
Young tableaux are fundamental objects in algebraic combinatorics and representation theory, with operations such as promotion and jeu de taquin playing a central role in their str…
Limits and Periodicity of Metamour -Distance Graphs
William Q. Erickson, Daniel Herden, Jonathan Meddaugh +3
Given a finite simple graph , let denote its 2-distance graph, in which two vertices are adjacent if and only if they have distance 2 in . In this paper…
Robinson-Schensted shapes arising from cycle decompositions
Martha Du Preez, William Q. Erickson, Jonathan Feigert +5
In the symmetric group , each element has an associated cycle type , a partition of that identifies the conjugacy class of . The Robinson-Schensted (RS) corre…
Neighborhood Balanced 3-Coloring
Mitchell Minyard, Mark R. Sepanski
A graph is said to be neighborhood 3-balanced if there exists a vertex labeling with three colors so that each vertex has an equal number of neighbors of each color. We give order…
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…