7 papers
On the abstract elementary class of acts with pure embeddings
Jonathan Feigert, Daniel Herden, Marcos Mazari-Armida
We study the abstract elementary class of acts with pure embeddings. In particular, we show that stability and superstability in this class can be characterized in terms of the mon…
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…
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…
The trace dual of nonlinear skew cyclic codes
Daniel Bossaller, Daniel Herden, Indalecio Ruiz-Bolaños
Codes which have a finite field as their alphabet but which are only linear over a subfield are a topic of much recent interest due to their utili…
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…
Nonlinear Skew Quasi-Cyclic Codes
Daniel Bossaller, Daniel Herden, Indalecio Ruiz-Bolanos
This article explores nonlinear analogues of skew quasi-cyclic codes of index~, i.e., -submodules of $\left(\mathbb{F}_{q^m}[X;σ]/(X^n - 1)\right)^\ell…
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…