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» Improved Bounds for Geometric Permutations
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STOC
2001
ACM
132views Algorithms» more  STOC 2001»
15 years 12 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
FOCS
2009
IEEE
15 years 6 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...
FSE
2010
Springer
146views Cryptology» more  FSE 2010»
15 years 3 months ago
A Unified Method for Improving PRF Bounds for a Class of Blockcipher Based MACs
This paper provides a unified framework for improving PRF (pseudorandom function) advantages of several popular MACs (message authentication codes) based on a blockcipher modeled a...
Mridul Nandi
98
Voted
CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 9 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
FOCS
2008
IEEE
15 years 6 months ago
A Geometric Approach to Lower Bounds for Approximate Near-Neighbor Search and Partial Match
This work investigates a geometric approach to proving cell probe lower bounds for data structure problems. We consider the approximate nearest neighbor search problem on the Bool...
Rina Panigrahy, Kunal Talwar, Udi Wieder