华东师范大学学报（自然科学版） >

2015 , Vol. 2015 >Issue 1: 120 - 125

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.01.014

应用数学与基础数学

具有k个悬挂点的n阶单圈图的Harary指数(英)

  • 蔡改香 ,
  • 余桂东 ,
  • 邢抱花
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  • 安庆师范学院青年科研基金(KJ201307)

收稿日期: 2013-12-01

  网络出版日期: 2015-03-29

基金资助

安徽省自然科学基金(11040606M14); 安徽省高校自然科学基金(KJ2011A195,KJ2010B136)

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Harary index of unicyclic graphs with n vertices and k pendent vertices

  • CAI Gai-Xiang ,
  • YU Gui-Dong ,
  • XING Bao-Hua
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Received date: 2013-12-01

  Online published: 2015-03-29

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摘要

连通图的Harry指数定义为所有顶点对的距离倒数和.本文对具有k个悬挂点的n阶单圈图的Harary指数进行了研究,并给出了此类图中具有极大Harary指数的图类.

关键词： Harry指数; 单圈图; 悬挂点

本文引用格式

蔡改香 , 余桂东 , 邢抱花 . 具有k个悬挂点的n阶单圈图的Harary指数(英)[J]. 华东师范大学学报（自然科学版）, 2015 , 2015(1) : 120 -125 . DOI: 10.3969/j.issn.1000-5641.2015.01.014

Abstract

The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, the graph with the largest Harary index among all the unicyclic graphs with n vertices and k pendent vertices were investigated.

Key words： Harary index; unicyclic graph; pendent vertex

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