The usage of planar graphs in wireless ad-hoc networks

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Delaunay triangulation and Voronoi diagrams are well known expressions in computational geometry. The present book adopt these methods for the usage in wireless ad-hoc networks and presents new approaches for topology control (SDT) and position-based routing. The Short delaunay triangulation (SDT) is a powerful topology based on the construction rules of the Delaunay triangulation. The Voronoi-aided routing (VAR) protocol is an efficient implementation of the well known greedy/perimeter routing approach based on SDT. The advantage of our approach is efficiency: Algorithms proposed until today generally separate topology control and routing, but a joint development based upon a common efficient data structure leads to considerably increased performance. The second part of this book is on fault-tolerance and reliability. Most routing protocols assume a fault-free environment during message delivery, but this does not hold in a realistic environment. This book analyzes greedy/perimeter routing in the context of crash failures and the reliability of this algorithm with respect to imprecise position information and mobile nodes.