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The parallel complexity of elimination ordering procedures

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Graph-Theoretic Concepts in Computer Science (WG 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 790))

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Abstract

We prove that lexicographic breadth-first search is P-complete and that a variant of the parallel perfect elimination procedure of P. Klein [11] is powerful enough to compute a semi-perfect elimination ordering in sense of [10] if certain induced subgraphs are forbidden. We present an efficient parallel breadth first search algorithm for all graphs which have no cycle of length greater four and no house as an induced subgraph. A side result is that a maximal clique can be computed in polylogarithmic time using a linear number of processors.

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Authors and Affiliations

  1. Basser Dept. of Computer Science, University of Sydney, 2006, NSW, Australia

    Elias Dahlhaus

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  1. Elias Dahlhaus
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Jan van Leeuwen

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© 1994 Springer-Verlag Berlin Heidelberg

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Dahlhaus, E. (1994). The parallel complexity of elimination ordering procedures. In: van Leeuwen, J. (eds) Graph-Theoretic Concepts in Computer Science. WG 1993. Lecture Notes in Computer Science, vol 790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57899-4_55

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  • DOI: https://doi.org/10.1007/3-540-57899-4_55

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57899-4

  • Online ISBN: 978-3-540-48385-4

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