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» Regularity Lemmas and Combinatorial Algorithms
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FOCS
2009
IEEE
13 years 11 months 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
STOC
2006
ACM
168views Algorithms» more  STOC 2006»
14 years 5 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
DCG
2008
118views more  DCG 2008»
13 years 5 months ago
General-Dimensional Constrained Delaunay and Constrained Regular Triangulations, I: Combinatorial Properties
Two-dimensional constrained Delaunay triangulations are geometric structures that are popular for interpolation and mesh generation because they respect the shapes of planar domai...
Jonathan Richard Shewchuk
RSA
2006
113views more  RSA 2006»
13 years 5 months ago
Applications of the regularity lemma for uniform hypergraphs
In this note we discuss several combinatorial problems that can be addressed by the Regularity Method for hypergraphs. Based on recent results of Nagle, Schacht and the authors, we...
Vojtech Rödl, Jozef Skokan
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 5 months ago
Resolution Trees with Lemmas: Resolution Refinements that Characterize DLL Algorithms with Clause Learning
Resolution refinements called w-resolution trees with lemmas (WRTL) and with input lemmas (WRTI) are introduced. Dag-like resolution is equivalent to both WRTL and WRTI when there...
Samuel R. Buss, Jan Hoffmann 0002, Jan Johannsen