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On the Complexity of Routing Permutations on Trees by Arc-Disjoint Paths Extended Abstract

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LATIN 2000: Theoretical Informatics (LATIN 2000)

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Abstract

In this paper we show that the routing permutation problem is NP-hard even for binary trees. Moreover, we show that in the case of unbounded degree tree networks, the routing permutation problem is NP-hard even if the permutations to be routed are involutions. Finally, we show that the average-case complexity of the routing permutation problem on linear networks is n/4 + o(n).

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Author information

Authors and Affiliations

  1. PRiSM, Université de Versailles, 45 Av. des Etats Unis, 78035, VERSAILLES, France

    D. Barth & D. Gardy

  2. L.R.I., Bât 490, Université Paris-Sud, 91405, ORSAY, France

    S. Corteel, A. Denise & M. Valencia-Pabon

Authors
  1. D. Barth
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  2. S. Corteel
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  3. A. Denise
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  4. D. Gardy
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  5. M. Valencia-Pabon
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Editor information

Editors and Affiliations

  1. ETH Zurich, Institute of Computational Science, CH-8092 Zurich and, Swiss Institute of Bioinformatics, Switzerland

    Gaston H. Gonnet

  2. Pedeciba Informática, Casilla de Correo 16120, Distrito 6, Montevideo, Uruguay

    Alfredo Viola

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Barth, D., Corteel, S., Denise, A., Gardy, D., Valencia-Pabon, M. (2000). On the Complexity of Routing Permutations on Trees by Arc-Disjoint Paths Extended Abstract. In: Gonnet, G.H., Viola, A. (eds) LATIN 2000: Theoretical Informatics. LATIN 2000. Lecture Notes in Computer Science, vol 1776. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719839_32

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  • DOI: https://doi.org/10.1007/10719839_32

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  • Print ISBN: 978-3-540-67306-4

  • Online ISBN: 978-3-540-46415-0

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