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STOC
2001
ACM
143views Algorithms» more  STOC 2001»
14 years 5 months ago
Computing crossing numbers in quadratic time
We show that for every fixed ? there is a quadratic time algorithm that decides whether a given graph has crossing number at most and, if this is the case, computes a drawing of t...
Martin Grohe
STOC
2001
ACM
133views Algorithms» more  STOC 2001»
14 years 5 months ago
Quantum mechanical algorithms for the nonabelian hidden subgroup problem
Michelangelo Grigni, Leonard J. Schulman, Monica V...
STOC
2001
ACM
116views Algorithms» more  STOC 2001»
14 years 5 months ago
One line and n points
: We analyze a randomized pivoting process involving one line and n points in the plane. The process models the behavior of the RANDOM-EDGE simplex algorithm on simple polytopes wi...
Bernd Gärtner, József Solymosi, Falk T...
STOC
2001
ACM
140views Algorithms» more  STOC 2001»
14 years 5 months ago
Compatible sequences and a slow Winkler percolation
Two infinite 0-1 sequences are called compatible when it is possible to cast out 0's from both in such a way that they become complementary to each other. Answering a question...
Péter Gács
STOC
2001
ACM
117views Algorithms» more  STOC 2001»
14 years 5 months ago
Biased dictionaries with fast insert/deletes
Funda Ergün, Süleyman Cenk Sahinalp, Jon...
STOC
2001
ACM
119views Algorithms» more  STOC 2001»
14 years 5 months ago
Complex tilings
Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
Bruno Durand, Leonid A. Levin, Alexander Shen
STOC
2001
ACM
111views Algorithms» more  STOC 2001»
14 years 5 months ago
Optimal outlier removal in high-dimensional
We study the problem of finding an outlier-free subset of a set of points (or a probability distribution) in n-dimensional Euclidean space. As in [BFKV 99], a point x is defined t...
John Dunagan, Santosh Vempala
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 5 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
STOC
2001
ACM
94views Algorithms» more  STOC 2001»
14 years 5 months ago
Spectral analysis of data
Yossi Azar, Amos Fiat, Anna R. Karlin, Frank McShe...
STOC
2001
ACM
122views Algorithms» more  STOC 2001»
14 years 5 months ago
One-dimensional quantum walks
In this paper we analyze the behavior of quantum random walks. In particular we present several new results for the absorption probabilities in systems with both one and two absor...
Andris Ambainis, Eric Bach, Ashwin Nayak, Ashvin V...