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MPI-I-95-1-019

The fourth moment in Luby`s distribution

Dubhashi, Devdatt P. and Pantziou, Grammati E. and Spirakis, P. G. and Zaroliagis, Christos D.

August 1995, 10 pages.

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Status: available - back from printing

Luby (1988) proposed a way to derandomize randomized computations which is based on the construction of a small probability space whose elements are $3$-wise independent. In this paper we prove some new properties of Luby's space. More precisely, we analyze the fourth moment and prove an interesting technical property which helps to understand better Luby's distribution. As an application, we study the behavior of random edge cuts in a weighted graph.

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URL to this document: https://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1995-1-019

Hide details for BibTeXBibTeX
@TECHREPORT{DubhashiPantziouSpirakisZaroliagis95,
  AUTHOR = {Dubhashi, Devdatt P. and Pantziou, Grammati E. and Spirakis, P. G. and Zaroliagis, Christos D.},
  TITLE = {The fourth moment in Luby`s distribution},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-95-1-019},
  MONTH = {August},
  YEAR = {1995},
  ISSN = {0946-011X},
}