1 citations · 1 across the 14 of their papers we have counts for
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Analytic Properties of Necklace Polynomials
Sunil K. Chebolu, Ján Mináč, Tung T. Nguyen +1
The necklace polynomials \[ M_n(x)=\frac1n\sum_{d\mid n}μ(d)x^{n/d} \] play a central role in discrete mathematics: they count aperiodic necklaces, enumerate monic irreducible poly…
Perfect state transfer on gcd-graphs over a finite Frobenius ring
Tung T. Nguyen, Nguyen Duy Tân
The existence of perfect state transfer (PST) on quantum spin networks is a fundamental problem in mathematics and physics. Various works in the literature have explored PST in gra…
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…
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…
On the Paley graph of a quadratic character
Ján Mináč, Lyle Muller, Tung T. Nguyen +1
Paley graphs form a nice link between the distribution of quadratic residues and graph theory. These graphs possess remarkable properties which make them useful in several branches…