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Maximum Independent Set of Links under Physical Interference Model

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5682))

Abstract

This paper addresses the following optimization problem in a plane multihop wireless networks under the physical interference model: From a given a set of communication links whose senders transmit at a fixed uniform power level, select a maximum set of independent links. This problem is known to be NP-hard. The existing approximation algorithms which were claimed to have constant approximation bounds are either valid only in the absence of background noise or simply incorrect in the presence of background noise. In this paper, we develop a new approximation algorithm with constant approximation bound regardless of the value of the background noise. In addition, our approximation bound valid in general is significantly smaller than all the known bounds which are only valid under certain special assumptions.

This work was supported in part by NSF of USA under grant CNS-0831831, by the RGC of Hong Kong under Project No. 122807, and by the National Basic Research Program of China Grant 2007CB807900, 2007CB807901.

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© 2009 Springer-Verlag Berlin Heidelberg

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Wan, PJ., Jia, X., Yao, F. (2009). Maximum Independent Set of Links under Physical Interference Model. In: Liu, B., Bestavros, A., Du, DZ., Wang, J. (eds) Wireless Algorithms, Systems, and Applications. WASA 2009. Lecture Notes in Computer Science, vol 5682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03417-6_17

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  • DOI: https://doi.org/10.1007/978-3-642-03417-6_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03416-9

  • Online ISBN: 978-3-642-03417-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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