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- W1569713312 abstract "In this paper we derive an unbiased estimator for the of direct connections (edges or neighbors) in 2 and 3 dimensional ad hoc networks. We show how this estimator is based on a minimal of assumptions regarding the topology of the network and is a good estimator for both sparse and dense networks. We then develop a relationship between the of edges in the network and the probability of that network being strongly connected. We show for realistically sized networks, that if the nodes have, on average, just under 10 neighbors that the network is completely connected with high probability. This is a so called magic number which is the subject of some dispute in the literature at present. We go on to develop a simple algorithm that uses the prior results to construct strongly connected sensor or smart-dust networks. This algorithm is attractive as it is very robust whilst requiring only communication between adjacent nodes. We compare the performance of our algorithm against the shortest path algorithm." @default.
- W1569713312 created "2016-06-24" @default.
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- W1569713312 date "2005-04-05" @default.
- W1569713312 modified "2023-09-26" @default.
- W1569713312 title "On edges and connectivity in ad hoc networks" @default.
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- W1569713312 doi "https://doi.org/10.1109/glocom.2004.1379035" @default.
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