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Node set optimization problem for complete Josephus cubes

Author

Listed:
  • Micheal Arockiaraj

    (Loyola College)

  • Jessie Abraham

    (KCG College of Technology)

  • Arul Jeya Shalini

    (Women’s Christian College)

Abstract

The problem of finding an optimal node set in an interconnection network plays an important role in minimizing the layout of embedding the network into linear chassis. In this paper we find the nested optimal node sets for a complete Josephus cube, a recently proposed fault-tolerant node cluster architecture variant of the binary hypercube which has the same number of nodes as the hypercube but exhibits enhanced embedding, fault tolerance and communications performance than the hypercube and many of its variants. As a byproduct we obtain the minimum layout of embedding the complete Josephus cube into a path, 1-rooted complete binary tree, sibling tree and caterpillar.

Suggested Citation

  • Micheal Arockiaraj & Jessie Abraham & Arul Jeya Shalini, 2019. "Node set optimization problem for complete Josephus cubes," Journal of Combinatorial Optimization, Springer, vol. 38(4), pages 1180-1195, November.
    • Handle: RePEc:spr:jcomop:v:38:y:2019:i:4:d:10.1007_s10878-019-00443-9
    DOI: 10.1007/s10878-019-00443-9
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    References listed on IDEAS

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    1. Eduardo G. Pardo & Mauricio Soto & Christopher Thraves, 2015. "Embedding signed graphs in the line," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 451-471, February.
    2. Indra Rajasingh & Paul Manuel & M. Arockiaraj & Bharati Rajan, 2013. "Embeddings of circulant networks," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 135-151, July.
    Full references (including those not matched with items on IDEAS)

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