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» Improved Bounds for Geometric Permutations
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STOC
2001
ACM
132views Algorithms» more  STOC 2001»
15 years 9 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 4 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 24 days 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
81
Voted
CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 6 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 4 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