Randić spectrum of the weakly zero-divisor graph of the ring ℤn

Nadeem Ur Rehman, Nazim,Ahmad M. Alghamdi, Eman S. Almotairi

AKCE International Journal of Graphs and Combinatorics(2024)

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摘要
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers modulo [Formula: see text]. The weakly zero-divisor graph of the ring [Formula: see text] is a simple undirected graph with vertices representing non-zero zero-divisors in [Formula: see text]. Two vertices, denoted as a and b, are connected if there are elements x in the annihilator of a and y in the annihilator of b such that their product xy equals zero. In particular, we examine the Randić spectrum of [Formula: see text] for specific values of [Formula: see text], which are products of prime numbers and their powers.
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关键词
Weakly zero-divisor graph,Randić spectrum,Euler totient function,ring of integers modulo,05C25,05C50
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