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On certain properties of the $p$-unitary Cayley graph over a finite ring
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abstract
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 necessary and sufficient conditions for such a Cayley graph to be prime. In this paper, we continue this line of research. Specifically, we investigate some basic properties of certain $p$-unitary Cayeley graphs associated with a finite commutative ring. In particular, under some mild conditions, we provide the necessary and sufficient conditions for this graph to be prime.
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Cited by 1 Pith paper
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Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs
A super-Cayley graph's spectrum is a super-Fourier transform of its connection set; for Frobenius rings this yields explicit spectral formulas and rationality criteria.
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