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Proceedings Paper

Conditional fault-tolerant cycles in folded hypercubes with faulty elements
Author(s): Jian-Wei Zheng; Da-chang Guo; Ri-Fei Liang
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Paper Abstract

As an attractive variation of the hypercubes , Qn n -dimensional folded hypercube FQn can be obtained by adding 2n−1 complementary edges between the vertices of hypercube. Let v FF (respectively, FFe ) denotes the set of faulty vertices (respectively, faulty edges) in an n -dimensional folded hypercube. In this paper, we prove that FQn − FFv − FFe contains a fault-free cycle of length at least 2n − FFv if FQn satisfies both of the constraints that (1)each vertex in FQn is incident to at least two fault-free edges(2) 2 3, FFe + FFv ≤ n − when n ≥ 4 .

Paper Details

Date Published: 24 December 2013
PDF: 7 pages
Proc. SPIE 9067, Sixth International Conference on Machine Vision (ICMV 2013), 906725 (24 December 2013); doi: 10.1117/12.2051376
Show Author Affiliations
Jian-Wei Zheng, Guangdong Univ. of Technology (China)
Da-chang Guo, Guangdong Univ. of Technology (China)
Ri-Fei Liang, Guangdong Univ. of Technology (China)


Published in SPIE Proceedings Vol. 9067:
Sixth International Conference on Machine Vision (ICMV 2013)
Branislav Vuksanovic; Antanas Verikas; Jianhong Zhou, Editor(s)

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