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» A New Periodicity Lemma
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FOCS
2009
IEEE
14 years 14 hour ago
Regularity Lemmas and Combinatorial Algorithms
— We present new combinatorial algorithms for Boolean matrix multiplication (BMM) and preprocessing a graph to answer independent set queries. We give the first asymptotic impro...
Nikhil Bansal, Ryan Williams
COMPGEOM
2010
ACM
13 years 10 months ago
Improving the first selection lemma in R3
We present new bounds on the first selection lemma in R3 . This makes progress on the open problems of Bukh, Matoušek and Nivash [6] and Boros-Füredi [4] for the three-dimensio...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
CORR
2011
Springer
151views Education» more  CORR 2011»
13 years 5 days ago
Multiply-Recursive Upper Bounds with Higman's Lemma
We develop a new analysis for the length of controlled bad sequences in well-quasi-orderings based on Higman’s Lemma. This leads to tight multiply-recursive upper bounds that re...
Sylvain Schmitz, Philippe Schnoebelen
TOC
2008
89views more  TOC 2008»
13 years 5 months ago
Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
Abstract: This paper presents a unified and simple treatment of basic questions concerning two computational models: multiparty communication complexity and polynomials over GF(2)....
Emanuele Viola, Avi Wigderson
FOCS
2002
IEEE
13 years 10 months ago
A Switching Lemma for Small Restrictions and Lower Bounds for k - DNF Resolution
d abstract) Nathan Segerlind∗ Sam Buss† Russell Impagliazzo‡ We prove a new switching lemma that works for restrictions that set only a small fraction of the variables and i...
Nathan Segerlind, Samuel R. Buss, Russell Impaglia...