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math.OA2024
Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality
Pierre Clare, Chi-Kwong Li, Edward Poon +1
We study the problem of calculating noncommutative distances on graphs, using techniques from linear algebra, specifically, Birkhoff-James orthogonality. A complete characterizatio…
math.CO2024
Combinatorial transfer: a new method for constructing infinite families of nonabelian difference sets, partial difference sets, and relative difference sets
Eric Swartz, James A. Davis, John Polhill +1
For nearly a century, mathematicians have been developing techniques for constructing abelian automorphism groups of combinatorial objects, and, conversely, constructing combinator…