Switching to directional antennas with constant increase in radius and hop distance

Prosenjit Bose; Paz Carmi; Mirela Damian; Robin Flatland; Matthew J. Katz; Anil Maheshwari

doi:10.1007/978-3-642-22300-6_12

Switching to directional antennas with constant increase in radius and hop distance

Prosenjit Bose
, Paz Carmi
, Mirela Damian
, Robin Flatland
, Matthew J. Katz
, Anil Maheshwari

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

16 Scopus citations

Abstract

For any angle α < 2π, we show that any connected communication graph that is induced by a set P of n transceivers using omni-directional antennas of radius 1, can be replaced by a strongly connected communication graph, in which each transceiver in P is equipped with a directional antenna of angle α and radius r_dir, for some constant r_dir = r_dir(α). Moreover, the new communication graph is a c-spanner of the original graph, for some constant c = c(α), with respect to number of hops.

Original language	English
Title of host publication	Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings
Pages	134-146
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-642-22300-6_12
State	Published - 1 Sep 2011
Event	12th International Symposium on Algorithms and Data Structures, WADS 2011 - New York, NY, United States Duration: 15 Aug 2011 → 17 Aug 2011

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	6844 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	12th International Symposium on Algorithms and Data Structures, WADS 2011
Country/Territory	United States
City	New York, NY
Period	15/08/11 → 17/08/11

Keywords

communication graph
directional antennas
hop spanner
wireless networks

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-642-22300-6_12

Cite this

Bose, P., Carmi, P., Damian, M., Flatland, R., Katz, M. J., & Maheshwari, A. (2011). Switching to directional antennas with constant increase in radius and hop distance. In Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings (pp. 134-146). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6844 LNCS). https://doi.org/10.1007/978-3-642-22300-6_12

Bose, Prosenjit ; Carmi, Paz ; Damian, Mirela et al. / Switching to directional antennas with constant increase in radius and hop distance. Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings. 2011. pp. 134-146 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Switching to directional antennas with constant increase in radius and hop distance",

abstract = "For any angle α < 2π, we show that any connected communication graph that is induced by a set P of n transceivers using omni-directional antennas of radius 1, can be replaced by a strongly connected communication graph, in which each transceiver in P is equipped with a directional antenna of angle α and radius rdir, for some constant rdir = rdir(α). Moreover, the new communication graph is a c-spanner of the original graph, for some constant c = c(α), with respect to number of hops.",

keywords = "communication graph, directional antennas, hop spanner, wireless networks",

author = "Prosenjit Bose and Paz Carmi and Mirela Damian and Robin Flatland and Katz, \{Matthew J.\} and Anil Maheshwari",

note = "Funding Information: Acknowledgments. Many thanks to the Fields Institute for financial support. Work by M. Katz was partially supported by grant 1045/10 from the Israel Science Foundation, and by the Israel Ministry of Industry, Trade and Labor (consortium CORNET). Work by P. Carmi was partially supported by the Lynn and William Frankel Center for Computer Sciences and grant 2240-2100.6/2009 from the German Israeli Foundation for scientific research and development (GIF).; 12th International Symposium on Algorithms and Data Structures, WADS 2011 ; Conference date: 15-08-2011 Through 17-08-2011",

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Bose, P, Carmi, P, Damian, M, Flatland, R, Katz, MJ & Maheshwari, A 2011, Switching to directional antennas with constant increase in radius and hop distance. in Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6844 LNCS, pp. 134-146, 12th International Symposium on Algorithms and Data Structures, WADS 2011, New York, NY, United States, 15/08/11. https://doi.org/10.1007/978-3-642-22300-6_12

Switching to directional antennas with constant increase in radius and hop distance. / Bose, Prosenjit; Carmi, Paz; Damian, Mirela et al.
Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings. 2011. p. 134-146 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6844 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Maheshwari, Anil

N1 - Funding Information: Acknowledgments. Many thanks to the Fields Institute for financial support. Work by M. Katz was partially supported by grant 1045/10 from the Israel Science Foundation, and by the Israel Ministry of Industry, Trade and Labor (consortium CORNET). Work by P. Carmi was partially supported by the Lynn and William Frankel Center for Computer Sciences and grant 2240-2100.6/2009 from the German Israeli Foundation for scientific research and development (GIF).

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N2 - For any angle α < 2π, we show that any connected communication graph that is induced by a set P of n transceivers using omni-directional antennas of radius 1, can be replaced by a strongly connected communication graph, in which each transceiver in P is equipped with a directional antenna of angle α and radius rdir, for some constant rdir = rdir(α). Moreover, the new communication graph is a c-spanner of the original graph, for some constant c = c(α), with respect to number of hops.

AB - For any angle α < 2π, we show that any connected communication graph that is induced by a set P of n transceivers using omni-directional antennas of radius 1, can be replaced by a strongly connected communication graph, in which each transceiver in P is equipped with a directional antenna of angle α and radius rdir, for some constant rdir = rdir(α). Moreover, the new communication graph is a c-spanner of the original graph, for some constant c = c(α), with respect to number of hops.

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Bose P, Carmi P, Damian M, Flatland R, Katz MJ, Maheshwari A. Switching to directional antennas with constant increase in radius and hop distance. In Algorithms and Data Structures - 12th International Symposium, WADS 2011, Proceedings. 2011. p. 134-146. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-22300-6_12

Switching to directional antennas with constant increase in radius and hop distance

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