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

Sun Yuan Hsieh; Che Nan Kuo; Hui Ling Huang

doi:10.1016/j.dam.2009.06.012

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

Sun Yuan Hsieh
, Che Nan Kuo
, Hui Ling Huang

Department of Computer Science and Information Engineering

Research output: Contribution to journal › Article › peer-review

43 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 Q_n. We show that F Q_n - {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
Pages (from-to)	3094-3098
Number of pages	5
Journal	Discrete Applied Mathematics
Volume	157
Issue number	14
DOIs	https://doi.org/10.1016/j.dam.2009.06.012
Publication status	Published - 2009 Jul 28

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.dam.2009.06.012

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AB - 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.

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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