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math.NT2024
Isomorphic gcd-graphs over polynomial rings
Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân
Gcd-graphs over the ring of integers modulo are a simple and elegant class of integral graphs. The study of these graphs connects multiple areas of mathematics, including graph…
math.CO2024
On certain properties of the -unitary Cayley graph over a finite ring
Tung T. Nguyen, Nguyen Duy Tân
In recent work, we study certain Cayley graphs associated with a finite commutative ring and their multiplicative subgroups. Among various results that we prove, we provide the nec…
math.CO2024
On prime Cayley graphs
Maria Chudnovsky, Michal Cizek, Logan Crew +4
The decomposition of complex networks into smaller, interconnected components is a central challenge in network theory with a wide range of potential applications. In this paper, w…