Applications on Topological Indices of Zero-Divisor Graph Associated with Commutative Rings

A topological index is a numeric quantity associated with chemical structure that attempts to link the various physicochemical properties, reactivity, or biological activity. Let R be commutative ring identity, and Z*(R) set of all non-zero zero divisors R. Then, Γ(R) said zero-divisor graph if only a·b=0, where a,b∈V(Γ(R))=Z*(R) (a,b)∈E(Γ(R)). We define a∼b a·b=0 a=b. ∼ always reflexive symmetric, but usually not transitive. symmetric measured by in rings. Here, we will draw from rings discuss indices for vertex eccentricity. In this paper, compute total eccentricity index, eccentric connectivity connective based on first second Zagreb indices, Ediz augmented These help us understand characteristics physical structures finite