A note on fault-free mutually independent Hamiltonian cycles in hypercubes with faulty edges

被引：0

作者：

Tz-Liang Kueng

Cheng-Kuan Lin

Tyne Liang

Jimmy J. M. Tan

Lih-Hsing Hsu

机构：

[1] National Chiao Tung University,Department of Computer Science

[2] Providence University,Department of Computer Science and Information Engineering

来源：

Journal of Combinatorial Optimization | 2009年 / 17卷

关键词：

Interconnection network; Hypercube; Fault tolerance; Hamiltonian cycle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the paper “Fault-free Mutually Independent Hamiltonian Cycles in Hypercubes with Faulty Edges” (J. Comb. Optim. 13:153–162, 2007), the authors claimed that an n-dimensional hypercube can be embedded with (n−1−f)-mutually independent Hamiltonian cycles when f≤n−2 faulty edges may occur accidentally. However, there are two mistakes in their proof. In this paper, we give examples to explain why the proof is deficient. Then we present a correct proof.

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页码：312 / 322

页数：10

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