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Permutation routing in all-optical product networks

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Parallel and Distributed Processing (IPPS 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1586))

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Abstract

In this paper we study permutation routing techniques for all-optical networks. Firstly, we show some lower bounds on the number of wavelengths needed for implementing any permutation on an alloptical network in terms of bisection of the network. Secondly, we study permutation routing on product networks by giving a lower bound on the number of wavelengths needed, and presenting permutation routing algorithms for the wavelength non-conversion and conversion models, respectively. Finally, we investigate permutation routing on a cube-connectedcycles network by showing that the number of wavelengths needed for implementing any permutation in one round is [2 log n], which improves on a previously known general result for bounded degree graphs by a factor of O(log3 n) for this special case.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Australian National University, 0200, Canberra, ACT, Australia

    Weifa Liang

  2. Computer Science Telecommunications Program, University of Missouri-Kansas City, 64110, Kansas City, MO, USA

    Xiaojun Shen

Authors
  1. Weifa Liang
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  2. Xiaojun Shen
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Editor information

José Rolim Frank Mueller Albert Y. Zomaya Fikret Ercal Stephan Olariu Binoy Ravindran Jan Gustafsson Hiroaki Takada Ron Olsson Laxmikant V. Kale Pete Beckman Matthew Haines Hossam ElGindy Denis Caromel Serge Chaumette Geoffrey Fox Yi Pan Keqin Li Tao Yang G. Chiola G. Conte L. V. Mancini Domenique Méry Beverly Sanders Devesh Bhatt Viktor Prasanna

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© 1999 Springer-Verlag

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Liang, W., Shen, X. (1999). Permutation routing in all-optical product networks. In: Rolim, J., et al. Parallel and Distributed Processing. IPPS 1999. Lecture Notes in Computer Science, vol 1586. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0097970

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  • DOI: https://doi.org/10.1007/BFb0097970

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65831-3

  • Online ISBN: 978-3-540-48932-0

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