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Embedding of the Folded Hypercubes into Tori

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Abstract

One of the most popular variants of hypercube network is the folded hypercube which can be constructed by adding a link to every pair of nodes with complementary addresses. The folded hypercube has been shown to be able to improve the system’s performance over a regular hypercube in many measurements. The family of torus is also one of the most popular interconnection networks due to its desirable properties such as regular structure, ease of implementation and good scalability. This paper is on the embedding of folded hypercube network into a family of torus whose exact wirelength is computed using the Congestion lemma and Partition lemma.

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Authors and Affiliations

  1. Department of Mathematics, Stella Maris College, Chennai, 600086, India

    Jasintha Quadras & Sarah Surya Solomon

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  1. Jasintha Quadras
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  2. Sarah Surya Solomon
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Correspondence to Sarah Surya Solomon.

Additional information

This work is supported by UGC, Project No.F. No. 39–47/2010.

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Quadras, J., Solomon, S.S. Embedding of the Folded Hypercubes into Tori. Math.Comput.Sci. 9, 177–183 (2015). https://doi.org/10.1007/s11786-015-0223-3

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  • DOI: https://doi.org/10.1007/s11786-015-0223-3

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