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» Lower Bounds for Set Intersection Queries
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COMPGEOM
2011
ACM
14 years 1 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»
15 years 10 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»
15 years 9 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»
15 years 10 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 3 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