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Communication in wireless networks with directional antennas

Published: 14 June 2008 Publication History

Abstract

We study the problem of maintaining connectivity in a wireless network where the network nodes are equipped with directional antennas. Nodes correspond to points on the plane and each uses a directional antenna modeled by a sector with a given angle and radius. The connectivity problem is to decide whether or not it is possible to orient the antennas so that the directed graph induced by the node transmissions is strongly connected. We present algorithms for simple polynomial-time-solvable cases of the problem, show that the problem is NP-complete in the $2$-dimensional case when the sector angle is small, and present algorithms that approximate the minimum radius to achieve connectivity for sectors with a given angle. We also discuss several extensions to related problems. To the best of our knowledge, the problem has not been studied before in the literature.

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cover image ACM Conferences
SPAA '08: Proceedings of the twentieth annual symposium on Parallelism in algorithms and architectures
June 2008
380 pages
ISBN:9781595939739
DOI:10.1145/1378533
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 14 June 2008

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Author Tags

  1. connectivity
  2. directional antennas
  3. wireless networks

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SPAA08

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Overall Acceptance Rate 447 of 1,461 submissions, 31%

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