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STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 12 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 12 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 12 months ago
Approximation schemes for clustering problems
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
STOC
2003
ACM
193views Algorithms» more  STOC 2003»
14 years 12 months ago
Space efficient dynamic stabbing with fast queries
In dynamic stabbing, we operate on a dynamic set of intervals. A stabbing query asks for an interval containing a given point. This basic problem encodes problems such as method l...
Mikkel Thorup
STOC
2003
ACM
142views Algorithms» more  STOC 2003»
14 years 12 months ago
Optimal probabilistic fingerprint codes
We construct binary codes for fingerprinting. Our codes for n users that are -secure against c pirates have length O(c2 log(n/ )). This improves the codes proposed by Boneh and Sh...
Gábor Tardos
STOC
2003
ACM
178views Algorithms» more  STOC 2003»
14 years 12 months ago
Uniform hashing in constant time and linear space
Many algorithms and data structures employing hashing have been analyzed under the uniform hashing assumption, i.e., the assumption that hash functions behave like truly random fu...
Anna Östlin, Rasmus Pagh
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 12 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio