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» On the Structure of Bounded Queries to Arbitrary NP Sets
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STOC
2012
ACM
221views Algorithms» more  STOC 2012»
11 years 11 months ago
From query complexity to computational complexity
We consider submodular optimization problems, and provide a general way of translating oracle inapproximability results arising from the symmetry gap technique to computational co...
Shahar Dobzinski, Jan Vondrák
CCCG
2010
13 years 10 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson
JACM
2010
135views more  JACM 2010»
13 years 7 months ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan
SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 10 months ago
A linear lower bound on index size for text retrieval
Most information-retrieval systems preprocess the data to produce an auxiliary index structure. Empirically, it has been observed that there is a tradeoff between query response t...
Erik D. Demaine, Alejandro López-Ortiz
STOC
2009
ACM
120views Algorithms» more  STOC 2009»
14 years 9 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