两个距离相关参数临近量和远离量关于最小度和最大度的界（英文）

张万平; 孟吉翔; 乔宏伟

doi:10.13568/j.cnki.651094.651316.2021.10.26.0001

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两个距离相关参数临近量和远离量关于最小度和最大度的界（英文）

更新时间：2026-01-21

- 两个距离相关参数临近量和远离量关于最小度和最大度的界（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 39, Issue 1, Pages: 1-15(2022)
- 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.651094.651316.2021.10.26.0001
  CLC： O157.5
- Published：2022
- 稿件说明：
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[1]张万平,孟吉翔,乔宏伟.两个距离相关参数临近量和远离量关于最小度和最大度的界（英文）[J].新疆大学学报(自然科学版)(中英文),2022,39(01):1-15.
[1]张万平,孟吉翔,乔宏伟.两个距离相关参数临近量和远离量关于最小度和最大度的界（英文）[J].新疆大学学报(自然科学版)(中英文),2022,39(01):1-15. DOI： 10.13568/j.cnki.651094.651316.2021.10.26.0001.

DOI：10.13568/j.cnki.651094.651316.2021.10.26.0001.

摘要

临近量和偏离量分别指的是从一个顶点v到图G中其它顶点的平均距离的最小值和最大值.与维纳指标类似

临近量和偏离量也是两个距离相关的参量.维纳指标揭示的是图的全局性质

而临近量和偏离量反映的是图的局部性质.在本文中

我们给出了在无三角形图和无四圈图中

最小度、最大度以及围长条件下临近量和偏离量的上界.

Abstract

The proximity π(G) and the remoteness ρ(G) are minimum and maximum average distance from a vertex v to all other vertices in G

respectively. Similar to the Wiener index

the proximity π(G) and the remoteness ρ(G) are also two distancebased invariants. The Wiener index reveals the global-property of graphs while the proximity π(G) and the remoteness ρ(G) point out the local-property. In this paper

we give some upper bounds on the π(G) and the ρ(G) in terms of minimum degree

maximum degree and girth in a triangle-free or a C4-free graph.

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references

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