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ALGORITHMICA
2008
79views more  ALGORITHMICA 2008»
14 years 11 months ago
Practical Methods for Shape Fitting and Kinetic Data Structures using Coresets
The notion of -kernel was introduced by Agarwal et al. [5] to set up a unified framework for computing various extent measures of a point set P approximately. Roughly speaking, a ...
Hai Yu, Pankaj K. Agarwal, Raghunath Poreddy, Kast...
COMPGEOM
2007
ACM
15 years 3 months ago
Kinetic KD-trees and longest-side KD-trees
We propose a simple variant of kd-trees, called rank-based kd-trees, for sets of points in Rd . We show that a rank-based kd-tree, like an ordinary kd-tree, supports range search ...
Mohammad Ali Abam, Mark de Berg, Bettina Speckmann
WADS
2009
Springer
291views Algorithms» more  WADS 2009»
15 years 6 months ago
On the Power of the Semi-Separated Pair Decomposition
Abstract. A Semi-Separated Pair Decomposition (SSPD), with parameter s > 1, of a set S ⊂ Rd is a set {(Ai, Bi)} of pairs of subsets of S such that for each i, there are balls ...
Mohammad Ali Abam, Paz Carmi, Mohammad Farshi, Mic...
DCOSS
2005
Springer
15 years 5 months ago
Distributed Proximity Maintenance in Ad Hoc Mobile Networks
We present an efficient distributed data structure, called the D-SPANNER, for maintaining proximity information among communicating mobile nodes. The D-SPANNER is a kinetic sparse...
Jie Gao, Leonidas J. Guibas, An Nguyen
CCCG
2010
15 years 27 days ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...