Randić spectrum of the weakly zero-divisor graph of the ring ℤ n

In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring R with identity 1≠0, denoted as WΓ(R), where R is taken as the ring of integers modulo n. The weakly zero-divisor graph of the ring R is a simple undirected graph with vertices representing non-zero zero-divisors in R. 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 WΓ(Zn) for specific values of n, which are products of prime numbers and their powers.