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FOCS
2004
IEEE
14 years 2 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
CORR
2008
Springer
68views Education» more  CORR 2008»
13 years 11 months ago
Improved lower bound for deterministic broadcasting in radio networks
We consider the problem of deterministic broadcasting in radio networks when the nodes have limited knowledge about the topology of the network. We show that for every determinist...
Carlos Brito, Shailesh Vaya
COCO
2003
Springer
118views Algorithms» more  COCO 2003»
14 years 4 months ago
Lower bounds for predecessor searching in the cell probe model
We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
Pranab Sen
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 11 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
FOCS
2008
IEEE
14 years 5 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon