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The zero-divisor graph assigned to S is an undirected graph, denoted as Y(S) with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c, d is an element of V(Y (S)), cd is an element of E(Y(S)) if and only if cd = 0. A topological index/descriptor is described as a topological-invariant quantity that transforms a molecular graph into a mathematical real number. 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