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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.

MPI-I-95-1-019. August 1995, 10 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
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.
Acknowledgement:
References to related material:

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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},
}