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FOCS
2000
IEEE
13 years 12 months ago
Opportunistic Data Structures with Applications
There is an upsurging interest in designing succinct data structures for basic searching problems (see [23] and references therein). The motivation has to be found in the exponent...
Paolo Ferragina, Giovanni Manzini
FOCS
2000
IEEE
13 years 12 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
FOCS
2000
IEEE
13 years 12 months ago
Computing the Determinant and Smith Form of an Integer Matrix
A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A ¡£¢ n¤ n the algorithm requires O¥ n3¦5 ¥ logn§ 4¦5§ bit...
Wayne Eberly, Mark Giesbrecht, Gilles Villard
FOCS
2000
IEEE
13 years 12 months ago
Zaps and Their Applications
A zap is a two-round, public coin witness-indistinguishable protocol in which the first round, consisting of a message from the verifier to the prover, can be fixed “once and...
Cynthia Dwork, Moni Naor
FOCS
2000
IEEE
13 years 12 months ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous
FOCS
2000
IEEE
13 years 12 months ago
Cache-Oblivious B-Trees
We present dynamic search-tree data structures that perform well in the setting of a hierarchical memory (including various levels of cache, disk, etc.), but do not depend on the ...
Michael A. Bender, Erik D. Demaine, Martin Farach-...
FOCS
2000
IEEE
13 years 12 months ago
Testing that distributions are close
Tugkan Batu, Lance Fortnow, Ronitt Rubinfeld, Warr...
FOCS
2000
IEEE
13 years 12 months ago
Nearly Optimal Expected-Case Planar Point Location
We consider the planar point location problem from the perspective of expected search time. We are given a planar polygonal subdivision S and for each polygon of the subdivision t...
Sunil Arya, Theocharis Malamatos, David M. Mount
FOCS
2000
IEEE
13 years 12 months ago
Private Quantum Channels
Shannon [Sha48, Sha49] in celebrated works had shown that n bits of shared key is necessary and sufficient to transmit n-bit classical information in an information-theoretically ...
Andris Ambainis, Michele Mosca, Alain Tapp, Ronald...
FOCS
2000
IEEE
13 years 12 months ago
New Data Structures for Orthogonal Range Searching
Stephen Alstrup, Gerth Stølting Brodal, The...