超立方体外边连通度可靠性分析(英文)

张明祖; 孟吉翔; 田应智

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超立方体外边连通度可靠性分析(英文)

更新时间：2026-01-21

- 超立方体外边连通度可靠性分析(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 30, Issue 3, Pages: 253-256(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]张明祖,孟吉翔,田应智.超立方体外边连通度可靠性分析(英文)[J].新疆大学学报(自然科学版),2013,30(03):253-256+268.

张明祖, 孟吉翔, 田应智. 超立方体外边连通度可靠性分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 253-256.
[1]张明祖,孟吉翔,田应智.超立方体外边连通度可靠性分析(英文)[J].新疆大学学报(自然科学版),2013,30(03):253-256+268. DOI：

张明祖, 孟吉翔, 田应智. 超立方体外边连通度可靠性分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(3): 253-256. DOI：

摘要

可靠性评估对于多处理系统的设计和维护占据重要的地位.在众多的可靠性评价系统方法中

外边连通度(也称限制性边连通度)是其中重要的一种.对于一个正整数h

如果图G的边集合S

满足G S是不连通的

并且每一个连通分支至少有h个点

则称S是图G的h-外边割.称h-外边割S最小的基数为图G的h-外边连通度

记为λh(G).文章给出了n维超立方体Qn的h-外边连通度λh(Qn)

其中正整数n≥7

2n2+1≤h≤2n2+2.

Abstract

Reliability evaluation of systems is important to the design and maintenance of multiprocessor systems.The extra edge-connectivity( also restricted edge connectivity) is a kind of measure for the reliability of interconnection systems. For a given positive integer h

an edge set S of a connected graph G is called as a h-extra edge-cut

if G-S is no longer connected

and each component of G- S has at least h vertices. The cardinality of a minimum h-extra edge-cut

is the h-extra edge-connectivity of G

denoted by λh(G). Let n be a positive integer

n ≥ 7. In this paper

we determine the h-extra edge-connectivity of n-dimensional hypercube λh(Q n) for 2n2 +1≤ h ≤ 2n2 +2.

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