Vira Hari Krisnawati, Noor Hidayat, Ayunda Faizatul Musyarrofah
In this paper, we study the zero-divisor graph of Z℘[x]/>x5> for prime number ℘, denoted as Γ(Z℘[x]/>x5>), including its energy and topological indices. Specifically, we provide bounds of the energy for Γ(Z℘[x]/>x5>) and show that these bounds are numerically close to the actual energy value. Furthermore, we determine the topological indices of Γ(Z℘[x]/>x5>), including the topological indices based on distance and degree. We also perform numerical simulations of the topological indices for various prime numbers ℘ © 2025 The Author(s)
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, East Java, Malang, Indonesia
