冠图与边冠图的完整度(英文)

阿依古丽·马木提; 秦学姣

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冠图与边冠图的完整度(英文)

更新时间：2026-01-21

- 冠图与边冠图的完整度(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 30, Issue 3, Pages: 278-281(2013)
- 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：2013
- 稿件说明：
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[1]阿依古丽·马木提,秦学姣.冠图与边冠图的完整度(英文)[J].新疆大学学报(自然科学版),2013,30(03):278-281.

阿依古丽·马木提, 秦学姣. 冠图与边冠图的完整度(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 278-281.
[1]阿依古丽·马木提,秦学姣.冠图与边冠图的完整度(英文)[J].新疆大学学报(自然科学版),2013,30(03):278-281. DOI：

阿依古丽·马木提, 秦学姣. 冠图与边冠图的完整度(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 278-281. DOI：

摘要

非完全连通图G的完整度可用来检测一个网络的脆弱性且被定义为I(G)=min{|S|+τ(G S)}

其中S和τ(G S)分别指V的子集和G S最大连通分支的阶.G1和G2的冠图

记为G1G2

被构成G1的一个拷贝和G2的|V(G1)|个拷贝

且G1的第i个顶点与G2的第i个拷贝的每个顶点相连.G1和G2的边冠图

记为G1G2

被构成G1的一个拷贝和G2的|E(G1)|个拷贝

且G1的第i条边的两个端点与G2的第i个拷贝的每个顶点相连.在本文中给出了当G1是路

圈

轮

星完全图和树时

冠图和边冠图的完整度.

Abstract

The integrity I(G) of a non-complete connected graph G is a measure of network invulnerability and is defined by I(G) = min{| S | +τ(G-S)}

where S and τ(G-S) denote the subset of V and the order of the largest component of G- S

respectively. The corona of two graphs G1and G2

written as G1?G2

is the graph obtaining by taking one copy of G1and | V(G1) | copies of G2

and then joining the i-th vertex of G1to every vertex in the i-th copy of G2. The edge corona of two graphs G1and G2

written as G1 G2

is the graph obtaining by taking one copy of G1and | E(G1) | copies of G2

and then joining two end-vertices of the i-th edge of G1to every vertex in the i-th copy of G2. In this paper

we investigate the integrity of the corona and edge corona of two graphs

when G1belongs to some families as paths

cycles

wheels

stars complete graphs and tree.

关键词

Keywords

references

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