树和单圈图的点Co-PI指标的界（英文）

康成俊; 吐然尼古丽·艾散; 依明江·沙比尔; 艾尔肯·吾买尔

doi:10.13568/j.cnki.651094.2015.02.010

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树和单圈图的点Co-PI指标的界（英文）

更新时间：2026-01-21

- 树和单圈图的点Co-PI指标的界（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 32, Issue 2, Pages: 183-189(2015)
- 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：10.13568/j.cnki.651094.2015.02.010
  CLC： O157.5
- Published：2015
- 稿件说明：
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[1]康成俊,吐然尼古丽·艾散,依明江·沙比尔,等.树和单圈图的点Co-PI指标的界（英文）[J].新疆大学学报(自然科学版),2015,32(02):183-189+194.
[1]康成俊,吐然尼古丽·艾散,依明江·沙比尔,等.树和单圈图的点Co-PI指标的界（英文）[J].新疆大学学报(自然科学版),2015,32(02):183-189+194. DOI： 10.13568/j.cnki.651094.2015.02.010.

DOI：10.13568/j.cnki.651094.2015.02.010.

摘要

令G=(V

E)是一个连通图.对于边e=uv∈E(G)

令nu(e)为距u的距离比距v的距离近的点的个数

nv(e)为距v的距离比距u的距离近的点的个数.图G的点Co-PI指标定义为Co-PIv(G)=e=uv∈E(G)|nu(e)-nv(e)|.在本文中

得到了树和单圈图的点Co-PI指标的上下界

并且给出了单圈图的点Co-PI指标的第二、第三、第四小和第二大值.

Abstract

LetG =(V

E) be a connected graph.For e = uv ∈ E(G)

let nu(e) be the number of vertices closer to u than to v

nv(e) be the number of vertices closer to v than to u.The vertex Co-PI index of G is defined as Co-PIv(G) =|nu(e)-e=uv∈E(G)nv(e)|. In this paper

sharp upper and lower bounds on the vertex Co-PI index of trees and unicycilc graphs are reported.Moreover

the second

third

fourth minimum and the second maximum values of this index for unicyclic graphs are given.

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references

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