西北师范大学学报（自然科学版）2026，Vol.62Issue(5)：126-132,7.DOI:10.16783/j.cnki.nwnuz.2026.05.016
具有固定悬挂点数的三圈图的点度函数指数
Vertex-degree function index of tricyclic graphs with fixed number of pendant vertices
摘要
Abstract
The vertex-degree function index of a graph is defined as the sum of a real-valued function value of all vertex degrees in a graph.By analyzing the structure of the base graph of tricyclic graphs,and utilizing the properties of strictly monotonically increasing convex functions and graph transformation methods,the maximum(minimum)values of the vertex-degree function index for tricyclic graphs with a fixed number of pendant vertices are obtained.关键词
点度函数指数/三圈图/极值问题/悬挂点Key words
vertex-degree function index/tricyclic graph/extremal value problem/pendant vertex分类
数理科学引用本文复制引用
范梦园,杜建伟,梅银珍..具有固定悬挂点数的三圈图的点度函数指数[J].西北师范大学学报（自然科学版）,2026,62(5):126-132,7.基金项目
山西省回国留学人员科研资助项目(2022-149) （2022-149）
山西省基础研究计划资助项目(202303021211154) （202303021211154）
