| Summary: | For a simple graph r with the set of edges and vertices, the general zeroth-order Randie index is defined as the sum of the degree of each vertex to the power of α ≠ 0. Meanwhile, the zero divisor graph of a ring is defined as a simple graph with vertex set is the set of zero divisors of the ring and a pair of distinct vertices a, b in the ring are adjacent if and only if ab = 0. This paper is an endeavor to construct the formula of the general zeroth-order Randie index of the zero divisor graph for some commutative rings. The commutative ring in the scope of this research is the ring of integers modulo pn, where n is a positive integer and p is a prime number. The general zeroth-order Randie index is found for the cases a = 1, 2 and 3. © 2024 Author(s).
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