一些图运算的调和指标与调和多项式的线图  

Edge Version of Harmonic Index and Harmonic Polynomial of Some Graph Operations

作　　者：米热古丽·外力 Wali Mihrigul(College of Statistics and Data Science,Xinjiang University of Finance and Economics,Urumqi Xinjiang 830012,China)

机构地区：[1]新疆财经大学统计与数据科学学院,新疆乌鲁木齐830012

出　　处：《新疆大学学报（自然科学版）（中英文）》2021年第5期540-548,共9页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金项目(11971406).

摘　　要：本文给出了边意义下调和指标及调和多项式关于笛卡儿积、Corona积、联图、笛卡儿和以及字典积等图运算的计算公式.边意义下的该指标关于上述运算中图的若干上下界是基于凸函数积分的已知结果得到的.In this paper we computed explicit formulas for the edge version of harmonic index and harmonic polynomial of many well known classes of graph Operations:Cartesian product,Corona product,join,Cartesian sum and lexicographic product.Some upper and lower bounds for the edge harmonic indices of these operations of graphs,in terms of related indices,are derived from known bounds on the integral of a product on nonnegative convex functions.

关 键 词：拓扑指标 线图 调和指标 调和函数 逆度 

分 类 号：O157.5[理学—数学]