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» An Algorithmic Hypergraph Regularity Lemma
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STOC
2009
ACM
152views Algorithms» more  STOC 2009»
13 years 12 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
JCT
2011
101views more  JCT 2011»
13 years 4 days ago
Almost all triple systems with independent neighborhoods are semi-bipartite
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
József Balogh, Dhruv Mubayi
FOCS
2009
IEEE
13 years 12 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
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
APAL
2010
93views more  APAL 2010»
13 years 5 months ago
Edge distribution and density in the characteristic sequence
The characteristic sequence of hypergraphs Pn : n < associated to a formula (x; y), introduced in [5], is defined by Pn(y1, . . . yn) = (x) in (x; yi). We continue the study o...
M. E. Malliaris