The first Zagreb index of the zero divisor graph for the ring of integers modulo power of primes

• Main Authors: Semil @ Ismail, Ghazali, Sarmin, Nor Haniza, Alimon, Nur Idayu, Fariz Maulana, Fariz Maulana
• Format: Article
• Language: English
• Published: Penerbit UTM Press 2023
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/105360/1/NorHanizaSarmin2023_TheFirstZagrebIndexoftheZeroDivisor.pdf; http://eprints.utm.my/105360/; http://dx.doi.org/10.11113/mjfas.v19n5.2980

Let Γ be a simple graph with the set of vertices and edges. The first Zagreb index of a graph is defined as the sum of the degree of each vertex to the power of two. Meanwhile, the zero divisor graph of a ring R, denoted by Γ(R), is defined as a graph with its vertex set Z(R)*contains the nonzero ze...