Open AccessThe Fourth Moment in Luby's Distribution
Author(s) -
Devdatt Dubhashi,
Grammati Pantziou,
Paul G. Spirakis,
Christos Zaroliagis
Publication year - 1995
Publication title -
brics report series
Language(s) - English
Resource type - Journals
eISSN - 1601-5355
pISSN - 0909-0878
DOI - 10.7146/brics.v2i15.19883
Subject(s) - mathematics , independence (probability theory) , moment (physics) , combinatorics , discrete mathematics , computation , algorithm , physics , statistics , quantum mechanics
Luby[10] 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. Keywords: Fourth moment, full independence, k-wise independence, derandomization.