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Maximum Interference of Random Sensors on a Line

  • Evangelos Kranakis
  • Danny Krizanc
  • Lata Narayanan
  • Ladislav Stacho
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6058)

Abstract

Consider n sensors whose positions are represented by n uniform, independent and identically distributed random variables assuming values in the open unit interval (0,1). A natural way to guarantee connectivity in the resulting sensor network is to assign to each sensor as range the maximum of the two possible distances to its two neighbors. The interference at a given sensor is defined as the number of sensors that have this sensor within their range. In this paper we prove that the expected maximum interference is Ω(ln ln n), and that for any ε> 0, it is O((ln n)1/2 + ε ).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Evangelos Kranakis
    • 1
  • Danny Krizanc
    • 2
  • Lata Narayanan
    • 3
  • Ladislav Stacho
    • 4
  1. 1.School of Computer ScienceCarleton UniversityOttawaCanada
  2. 2.Department of Mathematics and Computer ScienceWesleyan UniversityMiddletownUSA
  3. 3.Department of Computer Science and Software EngineeringConcordia UniversityMontrealCanada
  4. 4.Department of MathematicsSimon Fraser UniversityBurnabyCanada

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