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  A Geometric approach to routing in Ad-Hoc Networks

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by Debajyoti Bera, Soham Mazumdar, Utkarsh Hriday Srivastava
http://www.cse.iitk.ac.in/users/cs634/www/project_reports/report4.ps
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Abstract:

The basic problem we address is that of route determination in a network where the nodes are mobile and each node can transfer data only to those nodes within a xed geometric radius centered at the node. Since the link structure in this scenario described depends exclusively on the geometric location of the nodes, data structures for maintaining geometric features in moving points become a strong candidate for solving the problem. In this report, we investigate the use of a Kinetic Data Structure (KDS for short) to maintain an approximate minimum spanning tree. We use a continuous, increasing function of the Euclidean Distance as the link cost. The resulting graph closely approximates the connectivity graph of an Ad-Hoc network. We also compare our routing strategy with the shortest path based techniques. For the sake of completeness we give a brief introduction to KDS as well. 1

Citations

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136 Data structures and algorithms 3: Multi-dimensional searching and computational geometry – Mehlhorn - 1984
44 Proximity problems on moving points – Basch, Guibas, et al. - 1997
17 Kinetic data structures – Basch - 1999