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交叉立方体的限制性连通度

蔡学鹏 艾尔肯·吾买尔

曲阜师范大学学报(自然科学版)2018,Vol.44Issue(3):25-32,8.
曲阜师范大学学报(自然科学版)2018,Vol.44Issue(3):25-32,8.DOI:10.3969/j.issn.1001-5337.2018.3.025

交叉立方体的限制性连通度

Restricted Connectivity of Crossed Cubes

蔡学鹏 1艾尔肯·吾买尔1

作者信息

  • 1. 新疆大学数学与系统科学学院,830046,新疆维吾尔自治区乌鲁木齐市
  • 折叠

摘要

Abstract

Given a graph G and non-negative integer h,the h-restricted connectivity of G is the minimum cardinality of a set of vertices in G,if exists,whose deletion disconnects G and the degree of each vertex in every remaining component is at least h.As a variant of the hypercube,the crossed cube interconnection networks is one of the most popular interconnection networks for parallel/communication system.In this paper,we show that 2-and 3-restricted connectivity of n-dimensional crossed cubes are respectively 4n-8 for n ≥ 4 and 8n-24 for n ≥ 5.

关键词

限制性连通度/互联网络/交叉立方体

Key words

restricted connectivity/interconnection network/crossed cube

分类

数理科学

引用本文复制引用

蔡学鹏,艾尔肯·吾买尔..交叉立方体的限制性连通度[J].曲阜师范大学学报(自然科学版),2018,44(3):25-32,8.

基金项目

National Natural Science Foundation of China (11671227). (11671227)

曲阜师范大学学报(自然科学版)

1001-5337

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