半径为2的图的hyper-Wiener指标(英文)

何欢营; 安新慧

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半径为2的图的hyper-Wiener指标(英文)

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- 半径为2的图的hyper-Wiener指标(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 3, Pages: 299-303(2014)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O157.5
- Published：2014
- 稿件说明：
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[1]何欢营,安新慧.半径为2的图的hyper-Wiener指标(英文)[J].新疆大学学报(自然科学版),2014,31(03):299-303.

何欢营, 安新慧. 半径为2的图的hyper-Wiener指标(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(3): 299-303.
[1]何欢营,安新慧.半径为2的图的hyper-Wiener指标(英文)[J].新疆大学学报(自然科学版),2014,31(03):299-303. DOI：

何欢营, 安新慧. 半径为2的图的hyper-Wiener指标(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(3): 299-303. DOI：

摘要

连通图G的hyper-Wiener指标定义为WW(G)=12{u

v}V(G)(d(u

v)+d2(u

v))

其中d(u

v)表示G中u到v的距离.研究了半径为2的树的hyper-Wiener指标

并且给出了计算公式.刻画了阶数n=1+t+87t2的半径为2的具有最大hyper-Wiener指标的图

这里t是某些正整数.

Abstract

Let G be a connected graph

the hyper-Wiener index WW(G) of the graph G is defined as WW(G) =12{u

v}V(G)(d(u

v) + d2(u

v))

where d(u

v) denotes the distance between u and v of G. In this paper

we discuss mainly the hyper-Wiener index of trees with radius two and give the calculating formula. We also characterize graphs with the maximum hyper-Wiener index among all graphs of order n = 1 + t +87t2 with radius two

where t is some positive integer.Key words : hyper-Wiener index; Distance; Radius

关键词

Keywords

references

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