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» Lower Bounds for Set Intersection Queries
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COMPGEOM
2011
ACM
14 years 5 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
16 years 2 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
SIGMOD
2003
ACM
158views Database» more  SIGMOD 2003»
16 years 2 months ago
Processing Set Expressions over Continuous Update Streams
There is growing interest in algorithms for processing and querying continuous data streams (i.e., data that is seen only once in a fixed order) with limited memory resources. In ...
Sumit Ganguly, Minos N. Garofalakis, Rajeev Rastog...
STOC
2009
ACM
120views Algorithms» more  STOC 2009»
16 years 2 months ago
Bit-probe lower bounds for succinct data structures
We prove lower bounds on the redundancy necessary to represent a set S of objects using a number of bits close to the information-theoretic minimum log2 |S|, while answering vario...
Emanuele Viola
ISAAC
2007
Springer
135views Algorithms» more  ISAAC 2007»
15 years 8 months ago
Fast Evaluation of Union-Intersection Expressions
Abstract. We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient ...
Philip Bille, Anna Pagh, Rasmus Pagh