Randomized Geographic Routing with Guaranteed Delivery and Low StretchJournal: International Journal of Science and Research (IJSR) (Vol.2, No. 10)
Publication Date: 2013-10-05
Authors : A. Felicia; K. Brindha;
Page : 15-19
Keywords : quasi unit disk graph; GPSR; MANET; 4D network;
A wireless network is critical for evaluating the performance of network protocols and improving their designs. Many protocols for wireless networks routing, topology control, information storage/retrieval and numerous other applications have been based on the idealized unit-disk graph (UDG) network model. The significant deviation of the UDG model from many real wireless networks is substantially limiting the applicability of such protocols. A more general network model, the quasi unit disk graph (quasi-UDG) model, captures much better the characteristics of wireless networks. However, the understanding of the properties of general quasi-UDGs has been very limited, which is impeding the designs of key network protocols and algorithms. In this paper, we present results on two important properties of quasi-UDGs: separability and the existence of power efficient spanners. Network separability is a fundamental property leading to efficient network algorithms and fast parallel computation. We prove that every quasi-UDG has a corresponding grid graph with small balanced separators that captures its connectivity properties. We also study the problem of constructing an energy efficient backbone for a quasi-UDG. We present a distributed localized algorithm that, given a quasi-UDG, constructs a nearly planar backbone with a constant stretch factor and a bounded degree. We demonstrate the excellent performance of these auxiliary graphs through simulations and show their applications in efficient routing.
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