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A new family of interconnection networks of fixed degree three

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Abstract

A new family of interconnection networksWG n is proposed, that is constant degree 3 Cayley graph, and is isomorphic to a Cayley graph of the wreath productZ 2lSn when the generator set is chosen properly. Its different algebraic properties is investigated and a routing algorithm is given with the diameter upper bounded by 3n 2−6n+4. The embedding properties and the fault tolerance are devired. In conclusion, we present a comparison of some familiar networks with constant degree 3.

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Authors and Affiliations

  1. Department of Mathematics, Xiamen University, 361005, Xiamen, P.R. China

    Shu-Ming Zhou & Wen-Jun Xiao

  2. College of Computer Science, South China University of Technology, 510641, Guangzhou, P.R. China

    Wen-Jun Xiao

Authors
  1. Shu-Ming Zhou
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  2. Wen-Jun Xiao
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Correspondence to Shu-Ming Zhou.

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Zhou, SM., Xiao, WJ. A new family of interconnection networks of fixed degree three. J. Comput. Sci. & Technol. 19, 218–223 (2004). https://doi.org/10.1007/BF02944800

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  • DOI: https://doi.org/10.1007/BF02944800

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