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CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 8 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
CORR
2008
Springer
123views Education» more  CORR 2008»
13 years 8 months ago
Networks become navigable as nodes move and forget
Abstract. We propose a dynamic process for network evolution, aiming at explaining the emergence of the small world phenomenon, i.e., the statistical observation that any pair of i...
Augustin Chaintreau, Pierre Fraigniaud, Emmanuelle...
ECCC
2008
122views more  ECCC 2008»
13 years 8 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
CORR
2006
Springer
146views Education» more  CORR 2006»
13 years 8 months ago
Oblivious-Transfer Amplification
Abstract. Oblivious transfer (OT) is a primitive of paramount importance in cryptography or, more precisely, two- and multi-party computation due to its universality. Unfortunately...
Jürg Wullschleger
ECCC
2006
77views more  ECCC 2006»
13 years 8 months ago
Extractors and condensers from univariate polynomials
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
Venkatesan Guruswami, Christopher Umans, Salil P. ...