山西大学学报（自然科学版）2025，Vol.48Issue(2)：358-366,9.DOI:10.13451/j.sxu.ns.2024083
广义扇图和广义轮图的顶点PI指数和加权顶点PI指数
Vertex PI and Weighted Vertex PI Indices for Generalized Fan Graphs and Generalized Wheel Graphs
摘要
Abstract
In this paper,we solve the problem of computing vertex PI indices and weighted vertex PI indices for generalized fan graphs and generalized wheel graphs.Firstly,the vertices and edges of the graphs are divided according to the symmetry of the graph structure,and the distances of different types of edges corresponding to the vertices are explored by using the method of categorical discussion to obtain their vertex PI indices.Secondly,using the association between vertex PI index and weighted vertex PI index,the degree of the corresponding vertex is investigated and the weighted vertex PI index of this type of graph is inscribed.关键词
拓扑指数/PI指数/扇图/轮图Key words
Topological index/PI index/fan graph/wheel graph分类
数理科学引用本文复制引用
陈建华,高玉斌..广义扇图和广义轮图的顶点PI指数和加权顶点PI指数[J].山西大学学报（自然科学版）,2025,48(2):358-366,9.基金项目
山西省回国留学人员科研资助项目(2022-149) （2022-149）
