4 papers · 1 filter
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…