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FOCS
2000
IEEE
13 years 9 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 9 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 9 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 9 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 9 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 9 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 9 months ago
Testing that distributions are close
Tugkan Batu, Lance Fortnow, Ronitt Rubinfeld, Warr...
FOCS
2000
IEEE
13 years 9 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 9 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 9 months ago
New Data Structures for Orthogonal Range Searching
Stephen Alstrup, Gerth Stølting Brodal, The...