On Spanners and Lightweight Spanners of Geometric Graphs

@article{Kanj2010OnSA,
title={On Spanners and Lightweight Spanners of Geometric Graphs},
author={Iyad A. Kanj and Ljubomir Perkovic and Ge Xia},
journal={SIAM J. Comput.},
year={2010},
volume={39},
pages={2132-2161}
}

We consider the problem of computing spanners of Euclidean and unit disk graphs embedded in the two-dimensional Euclidean plane. We are particularly interested in spanners that possess useful properties such as planarity, bounded degree, and/or light weight. Such spanners have been extensively studied in the area of computational geometry and have been used as the building block for constructing efficient and reliable wireless network communication topologies. We study the above problem under… CONTINUE READING