Elements of information theory
Elements of information theory
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Electric-field-based routing: a reliable framework for routing in MANETs
ACM SIGMOBILE Mobile Computing and Communications Review
Interperf '06 Proceedings from the 2006 workshop on Interdisciplinary systems approach in performance evaluation and design of computer & communications sytems
Computer Networks: The International Journal of Computer and Telecommunications Networking
The capacity of wireless networks
IEEE Transactions on Information Theory
Optimal deployment of large wireless sensor networks
IEEE Transactions on Information Theory
Gauss-seidel correction algorithm: A macroscopic model-derived routing algorithm for WSNs
ACM Transactions on Sensor Networks (TOSN)
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In a sensor network with information sources and a sink, we assume a single path between every location in the network and the destination. These abstract information paths represent the desired paths for transmission of information. If the number of sensor nodes is large enough to approximate information paths with a certain precision, we call the network implementable. In this paper, we investigate the relation between density of nodes and implementability of information paths. We show that a quadratic relation between the density of nodes and the magnitude of information flow does not guarantee implementability. On the other hand, we show that in a rectangular geometry with a line source and a line sink, and a total load of θ bps, N = O(θ2 log θ) number of nodes is sufficient for implementing the information paths. Furthermore, we show via simulation that adding the log factor is also a necessity for implementing the paths.