Some edge-fault-tolerant properties of the folded hypercube

被引:44
作者
Hsieh, Sun-Yuan [1 ]
机构
[1] Natl Cheng Kung Univ, Dept Comp Sci & Informat Engn, Tainan 70101, Taiwan
关键词
graph-theoretical interconnection networks; folded hypercubes; fault-tolerant embedding; Hamiltonian; Hamiltonian-connected; strongly Hamiltonian-laceable; hyper Hamiltonian-laceable;
D O I
10.1002/net.20204
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this article, we analyze some edge-fault-tolerant properties of the folded hypercube, a variant of the regular hypercube that is obtained by adding an edge to every pair of nodes with complementary addresses. We show that an n-dimensional folded hypercube is (n - 2)edge-fault-tolerant Hamiltonian-connected when n(>= 2) is even, (n - 1)-edge-fault-tolerant strongly Hamiltonian-laceable when n(>= 1) is odd, and (n - 2)-edge-fault-tolerant hyper Hamiltonian-laceable when n(>= 3) is odd. (c) 2007 Wiley Periodicals, Inc.
引用
收藏
页码:92 / 101
页数:10
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