Ismail Rashad, Ali Fawad, Qasim Rakhshanda, Naeem Muhammad, Mashwani Wali K, Khan Shahid
Department of Mathematics, Faculty of Science and Arts, King Khalid University, Muhayl Assir 61913, Saudi Arabia.
Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan.
Heliyon. 2023 Sep 1;9(9):e19560. doi: 10.1016/j.heliyon.2023.e19560. eCollection 2023 Sep.
Molecular topology can be described by using topological indices. These are quantitative measures of the essential structural features of a proposed molecule calculated from its molecular structure. It is a numerical value obtained from a molecular configuration that reflects the significant physical characteristics of the suggested molecule. Numerous physical properties, chemical reactivity, and biological activity are correlated with the chemical composition using an algebraic number. The power graph of a finite group is a graph whose vertex set is and in which two distinct vertices are connected by an edge when one element is an integral power of the other. This article investigates a wide range of degree-based topological descriptors for power graphs of various finite groups. We find numerous Zagreb indices (given in Table 1) of power graphs of finite non-cyclic and cyclic groups, dihedral, and generalized quaternion groups.
分子拓扑结构可以通过拓扑指数来描述。这些是根据分子结构计算得出的拟议分子基本结构特征的定量度量。它是从分子构型获得的一个数值，反映了所建议分子的重要物理特性。许多物理性质、化学反应性和生物活性都使用一个代数数与化学成分相关联。有限群的幂图是一个图，其顶点集为 ，并且当一个元素是另一个元素的整数次幂时，两个不同的顶点由一条边相连。本文研究了各种有限群的幂图的广泛的基于度的拓扑描述符。我们找到了有限非循环群、循环群、二面体群和广义四元数群的幂图的许多 Zagreb 指数（见表 1）。
