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On the topological indices of zero divisor graphs of some commutative rings
Fariz Maulana,Mochammad Zulfikar Aditya,Erma Suwastika,Intan Muchtadi Alamsyah,Nur Idayu Alimon,Nor Haniza Sarmin 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.3
The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we determine some topological indices such as the Wiener index, the edge-Wiener index, the hyper-Wiener index, the Harary index, the first Zagreb index, the second Zagreb index, and the Gutman index of zero divisor graph of integers modulo prime power and its direct product.