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On the Average Case Complexity of Some P-complete Problems

Published online by Cambridge University Press:  15 August 2002

Maria Serna  and
Fatos Xhafa
Maria Serna
Affiliation:
Departament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord – C6, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain; fatos@lsi.upc.es.
Fatos Xhafa
Affiliation:
Departament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord – C6, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain; fatos@lsi.upc.es.
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Abstract

We show that some classical P-complete problems can be solved efficiently in average NC. The probabilistic model we consider is the sample space of input descriptions of the problem with the underlying distribution being the uniform one. We present parallel algorithms that use a polynomial number of processors and have expected time upper bounded by (e ln 4 + o(1))log n, asymptotically with high probability, where n is the instance size.

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 33 , Issue 1 , January 1999 , pp. 33 - 45
Copyright
© EDP Sciences, 1999

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