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Calculating a Relational Program for Transitive Reductions of Strongly Connected Graphs

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Relational Methods in Computer Science (RelMiCS 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2561))

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Abstract

Based on a generic program for computing minimal sets, we present a simple relational program for computing transitive reductions of strongly connected directed graphs. It uses a precomputation phase and can easily be implemented in quadratic running time. The presentation is done as an exercise in generic programming and for combining the Dijkstra-Gries method and relational algebra to derive graph algorithms.

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Author information

Authors and Affiliations

  1. Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Olshausenstraβe 40, D-24098, Kiel

    Rudolf Berghammer & Thorsten Hoffmann

Authors
  1. Rudolf Berghammer
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  2. Thorsten Hoffmann
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Editor information

Editors and Affiliations

  1. Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands

    Harrie C. M. de Swart

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© 2002 Springer-Verlag Berlin Heidelberg

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Berghammer, R., Hoffmann, T. (2002). Calculating a Relational Program for Transitive Reductions of Strongly Connected Graphs. In: de Swart, H.C.M. (eds) Relational Methods in Computer Science. RelMiCS 2001. Lecture Notes in Computer Science, vol 2561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36280-0_18

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  • DOI: https://doi.org/10.1007/3-540-36280-0_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00315-1

  • Online ISBN: 978-3-540-36280-7

  • eBook Packages: Springer Book Archive

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