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...
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
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...
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...
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...