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The Hamilton Path in Faulty Enhanced Hypercube

  • Hongmei Liu
  • Yingying Liu
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 126)

Abstract

So far, the enhanced hypercube \({\mathcal Q}_{\rm n,k}\), where n,k are positive integers with 1≤ k ≤ n–1, is one of the most versatile and efficient interconnection networks (networks for short) for parallel computation. In this paper, the properties related to connectivity in faulty \({\mathcal Q}_{n,k}\) have been investigated through the analysis of the topological structure of n-dimensional enhanced hypercube \({\mathcal Q}_{n,k}\). This study demonstrates that in certain conditions, for any two different vertices there exists a hamilton path connecting x and y. Consequently the enhanced hypercubes are superior in safety.

Keywords

Bipartite Graph Hamiltonian Path Host Graph Hamiltonian Path Problem Parallel Processing Computer System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  • Hongmei Liu
    • 1
  • Yingying Liu
    • 1
  1. 1.College of ScienceChina Three Gorges UniversityYichangP.R. China

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