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» Tight bounds for the partial-sums problem
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
15 years 9 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
APPROX
2005
Springer
90views Algorithms» more  APPROX 2005»
15 years 5 months ago
Tight Bounds for String Reconstruction Using Substring Queries
We resolve two open problems presented in [8]. First, we consider the problem of reconstructing an unknown string T over a fixed alphabet using queries of the form “does the st...
Dekel Tsur
FOCS
2006
IEEE
15 years 5 months ago
The Kesten-Stigum Reconstruction Bound Is Tight for Roughly Symmetric Binary Channels
We establish the exact threshold for the reconstruction problem for a binary asymmetric channel on the b-ary tree, provided that the asymmetry is sufficiently small. This is the ...
Christian Borgs, Jennifer T. Chayes, Elchanan Moss...
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 2 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
MMB
2010
Springer
194views Communications» more  MMB 2010»
15 years 4 months ago
Searching for Tight Performance Bounds in Feed-Forward Networks
Abstract. Computing tight performance bounds in feed-forward networks under general assumptions about arrival and server models has turned out to be a challenging problem. Recently...
Andreas Kiefer, Nicos Gollan, Jens B. Schmitt