Fault-tolerant bipancyclicity of faulty hypercubes under the generalized conditional-fault model

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Abstract

Let F v be a set of faulty nodes in an n-dimensional hypercube, denoted by Q n. Also, let F e be a set of faulty edges in which at least one end-node of each edge is faulty. An edge in Q n is said to be critical if it is either fault-free or in F e. In this paper, we prove that, for up to 2n-4 faulty nodes and/or edges, an n-dimensional hypercube contains a fault-free cycle of every even length from 4 to 2 n-2|F v| in which each node is incident to at least two critical edges. Our result improves on the previously best known results reported in the literature.

Original languageEnglish
Article number6042300
Pages (from-to)3400-3409
Number of pages10
JournalIEEE Transactions on Communications
Volume59
Issue number12
DOIs
Publication statusPublished - 2011 Dec 1

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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