# 1-vertex-fault-tolerant cycles embedding on folded hypercubes

Sun-Yuan Hsieh, Che Nan Kuo, Hui Ling Huang

Research output: Contribution to journalArticle

33 Citations (Scopus)

### Abstract

In this paper, we focus on a hypercube-like structure, the folded hypercube, which is basically a standard hypercube with some extra links between its nodes. Let f be a faulty vertex in an n-dimensional folded hypercube F Qn. We show that F Qn - {f} contains a fault-free cycle of every even length from 4 to 2n - 2 if n ≥ 3 and, furthermore, every odd length from n + 1 to 2n - 1 if n ≥ 2 and n is even.

Original language English 3094-3098 5 Discrete Applied Mathematics 157 14 https://doi.org/10.1016/j.dam.2009.06.012 Published - 2009 Jul 28

### Fingerprint

Hypercube
Fault-tolerant
Cycle
Vertex of a graph
n-dimensional
Fault
Odd

### All Science Journal Classification (ASJC) codes

• Discrete Mathematics and Combinatorics
• Applied Mathematics

### Cite this

Hsieh, Sun-Yuan ; Kuo, Che Nan ; Huang, Hui Ling. / 1-vertex-fault-tolerant cycles embedding on folded hypercubes. In: Discrete Applied Mathematics. 2009 ; Vol. 157, No. 14. pp. 3094-3098.
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1-vertex-fault-tolerant cycles embedding on folded hypercubes. / Hsieh, Sun-Yuan; Kuo, Che Nan; Huang, Hui Ling.

In: Discrete Applied Mathematics, Vol. 157, No. 14, 28.07.2009, p. 3094-3098.

Research output: Contribution to journalArticle

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