On g-extra connectivity of folded hypercubes

被引:53
作者
Zhang, Mi-Mi [1 ]
Zhou, Jin-Xin [1 ]
机构
[1] Beijing Jiaotong Univ, Math, Beijing 100044, Peoples R China
基金
中国国家自然科学基金;
关键词
Interconnected networks; Hypercubes; Folded hypercubes; Connectivity; Extra-connectivity; EDGE-CONNECTIVITY; EXTRACONNECTIVITY; RELIABILITY; NETWORKS; VERTEX; CYCLES;
D O I
10.1016/j.tcs.2015.06.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Let G be a connected graph and g a non-negative integer, the g-extra connectivity of G is the minimum cardinality of a set of vertices in G, if it exists, whose deletion disconnects G and leaves each remaining component with more than g vertices. In several recent publications, the g-extra connectivity of an n-dimensional folded hypercube was determined for g <= 3 and some specific n (see, for example, Chang, Tsai, and Hsieh (2014) [4]). In this paper, an extension of the above results to all 0 <= g <= n + 1 and n >= 7 is presented. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:146 / 153
页数:8
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