Shortest Link Scheduling with Power Control under Physical Interference Model

  • Authors:
  • Peng-Jun Wan;Xiaohua Xu;Ophir Frieder

  • Affiliations:
  • -;-;-

  • Venue:
  • MSN '10 Proceedings of the 2010 Sixth International Conference on Mobile Ad-hoc and Sensor Networks
  • Year:
  • 2010

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Abstract

Shortest link scheduling (SLS) in multihop wireless networks under physical interference model is notoriously hard to resolve and been studied only recently by a few works. Most of the obtained approximation bounds grow linearly with the number of links, and many are only valid with single-hop wireless networks, and some claimed approximation bounds are even false. This paper conducts a rigorous algorithmic study of SLS with power control under the physical interference model. We develop a polynomial $O\left(\beta\ln\alpha\right) $-approximation algorithm for SLS, where $\alpha$ is the independence number and \ $\beta$ is the power diversity.