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图的支配Hyper Zagreb指数问题研究

陈壮壮 耿显亚

牡丹江师范学院学报(自然科学版)Issue(2):7-12,6.
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牡丹江师范学院学报(自然科学版)Issue(2):7-12,6.

图的支配Hyper Zagreb指数问题研究

Research on the Problem of the Dominating Hyper Zagreb Index of Graphs

陈壮壮 1耿显亚1

作者信息

  • 1. 安徽理工大学 数学与大数据学院,安徽 淮南 232001
  • 折叠

摘要

Abstract

In order to convert the structure of compounds into mathematical objects,researchers use various topolo-gical indices to quantify the structural characteristics of graphs.Among them,the dominating Hyper Zagreb index is an emerging dominating topological index in recent years,which can effectively reveal the structural characteristics of compounds.At present,the research on the extreme values of this index has been carried out for graphs,trees,and wheel graphs with fixed orders.This paper calculates the dominating Hyper Zagreb index and the modified dom-inating Hyper Zagreb index of some special graphs,namely windmill graphs and book graphs,and also explores other properties of this index.

关键词

支配Hyper Zagreb指数/特殊图/风车图/书图

Key words

dominating Hyper Zagreb index/special graphs/windmill graphs/book graphs

分类

数理科学

引用本文复制引用

陈壮壮,耿显亚..图的支配Hyper Zagreb指数问题研究[J].牡丹江师范学院学报(自然科学版),2026,(2):7-12,6.

基金项目

国家自然科学基金项目(12171190) (12171190)

安徽省自然科学基金项目(2008085MAO1) (2008085MAO1)

牡丹江师范学院学报(自然科学版)

1003-6180

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