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MFCS
2010
Springer
13 years 9 months ago
Breaking the Rectangle Bound Barrier against Formula Size Lower Bounds
Karchmer, Kushilevitz and Nisan formulated the formula size problem as an integer programming problem called the rectangle bound and introduced a technique called the LP bound, whi...
Kenya Ueno
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 4 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 6 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
SODA
2012
ACM
212views Algorithms» more  SODA 2012»
12 years 1 months ago
Parallelism and time in hierarchical self-assembly
We study the role that parallelism plays in time complexariants of Winfree’s abstract Tile Assembly Model (aTAM), a model of molecular algorithmic self-assembly. In the “hiera...
Ho-Lin Chen, David Doty
ICDE
2010
IEEE
227views Database» more  ICDE 2010»
14 years 10 months ago
Approximate Confidence Computation in Probabilistic Databases
Abstract-- This paper introduces a deterministic approximation algorithm with error guarantees for computing the probability of propositional formulas over discrete random variable...
Dan Olteanu, Jiewen Huang, Christoph Koch