W. Martin

activity

20242026

collaborators

3 papers

math.CO2026

Skirting the $n$ -tuples

Sam Adriaensen, Ferdinand Ihringer, William J. Martin +1

Let $n \geq 2$ and $q \geq 2$ be given. The set $X = Z_{q}^{n}$ is a metric space of diameter $n$ under the Hamming metric $d (\cdot, \cdot)$ . We seek a smallest set $S \subseteq X$ t…

math.CO2025

The Lie algebra $sl_{4} (C)$ and the hypercubes

William J. Martin, Paul Terwilliger

We describe a relationship between the Lie algebra $sl_{4} (C)$ and the hypercube graphs. Consider the $C$ -algebra $P$ of polynomials in four commuting vari…

math.GR2024

Uniqueness and explicit computation of mates in near-factorizations

Donald L. Kreher, William J. Martin, Douglas R. Stinson

We show that a "mate'' $B$ of a set $A$ in a near-factorization $(A, B)$ of a finite group $G$ is unique. Further, we describe how to compute the mate $B$ very efficiently using an…

Skirting the n-tuples

The Lie algebra sl4​(C) and the hypercubes

Uniqueness and explicit computation of mates in near-factorizations

Skirting the $n$ -tuples

The Lie algebra $sl_{4} (C)$ and the hypercubes