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International Workshop on Graph-Theoretic Concepts in Computer Science

WG 1996: Graph-Theoretic Concepts in Computer Science pp 44–55Cite as

On κ-partitioning the n-cube

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1197))

Abstract

Let an edge cut partition the vertex set of the n-cube into κ subsets A 1,..., A k with ∥A i¦ — ¦Aj∥ ⩽ 1. We consider the problem to determine minimal size of such a cut and present its asymptotic as n, k → ∞ and also as n → ∞ and k is a constant of the form κ=2a±2b with a≥b≥0.

This work was partially supported by the German Research Association (DFG) within the project SFB 376 “Massive Parallelität: Algorithmen, Entwurfsmethoden, Anwendungen”.

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Authors and Affiliations

  1. Department of Math. and Comp. Sci., University of Paderborn, D-33095, Paderborn, Germany

    Sergej L. Bezrukov

Authors
  1. Sergej L. Bezrukov
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Fabrizio d'Amore Paolo Giulio Franciosa Alberto Marchetti-Spaccamela

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© 1997 Springer-Verlag Berlin Heidelberg

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Bezrukov, S.L. (1997). On κ-partitioning the n-cube. In: d'Amore, F., Franciosa, P.G., Marchetti-Spaccamela, A. (eds) Graph-Theoretic Concepts in Computer Science. WG 1996. Lecture Notes in Computer Science, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62559-3_5

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  • DOI: https://doi.org/10.1007/3-540-62559-3_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62559-9

  • Online ISBN: 978-3-540-68072-7

  • eBook Packages: Springer Book Archive

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