Edge-fault-tolerant hamiltonicity of locally twisted cubes under conditional edge faults

Sun-Yuan Hsieh () and Chang-Yu Wu ()
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Sun-Yuan Hsieh: National Cheng Kung University
Chang-Yu Wu: National Cheng Kung University

Journal of Combinatorial Optimization, 2010, vol. 19, issue 1, No 2, 16-30

Abstract: Abstract The locally twisted cube is a variation of hypercube, which possesses some properties superior to the hypercube. In this paper, we investigate the edge-fault-tolerant hamiltonicity of an n-dimensional locally twisted cube, denoted by LTQ n . We show that for any LTQ n (n≥3) with at most 2n−5 faulty edges in which each node is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. We also demonstrate that our result is optimal with respect to the number of faulty edges tolerated.

Keywords: Conditional edge faults; Edge-fault-tolerance; Graph-theoretic interconnection networks; Hamiltonian cycles; Hamiltonicity; Locally twisted cubes (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10878-008-9157-x

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