Elements of information theory
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Randomized algorithms
Concrete Mathematics: A Foundation for Computer Science
Concrete Mathematics: A Foundation for Computer Science
Using directional antennas for medium access control in ad hoc networks
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On the interdependence of routing and data compression in multi-hop sensor networks
Proceedings of the 8th annual international conference on Mobile computing and networking
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Energy-efficient broadcast and multicast trees in wireless networks
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Capacity regions for wireless ad hoc networks
IEEE Transactions on Wireless Communications
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IEEE Transactions on Information Theory
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Multibeam Antenna-Based Topology Control with Directional Power Intensity for Ad Hoc Networks
IEEE Transactions on Mobile Computing
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IEEE/ACM Transactions on Networking (TON)
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ISRN Communications and Networking
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We consider the problem of determining rates of growth for the maximum stable throughput achievable in dense wireless networks. We formulate this problem as one of finding maximum flows on random unit-disk graphs. Equipped with the max-flow/min-cut theorem as our basic analysis tool, we obtain rates of growth under three models of communication: (a) omnidirectional transmissions; (b) "simple" directional transmissions, in which sending nodes generate a single beam aimed at a particular receiver; and (c) "complex" directional transmissions, in which sending nodes generate multiple beams aimed at multiple receivers. Our main finding is that an increase of Θlog2n in maximum stable throughput is all that can be achieved by allowing arbitrarily complex signal processing (in the form of generation of directed beams) at the transmitters and receivers. We conclude therefore that neither directional antennas, nor the ability to communicate simultaneously with multiple nodes, can be expected in practice to effectively circumvent the constriction on capacity in dense networks that results from the geometric layout of nodes in space.