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Simple and Local Independent Set Approximation

  • Ravi B. Boppana
  • Magnús M. Halldórsson
  • Dror RawitzEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11085)

Abstract

We bound the performance guarantees that follow from Turán-like bounds for unweighted and weighted independent sets in bounded-degree graphs. In particular, a randomized approach of Boppana forms a simple 1-round distributed algorithm, as well as a streaming and preemptive online algorithm. We show it gives a tight \((\varDelta +1)/2\)-approximation in unweighted graphs of maximum degree \(\varDelta \), which is best possible for 1-round distributed algorithms. For weighted graphs, it gives only a \((\varDelta +1)\)-approximation, but a simple modification results in an asymptotic expected \(0.529 (\varDelta +1)\)-approximation. This compares with a recent, more complex \(\varDelta \)-approximation [6], which holds deterministically.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Ravi B. Boppana
    • 1
  • Magnús M. Halldórsson
    • 2
  • Dror Rawitz
    • 3
    Email author
  1. 1.Department of MathematicsMITCambridgeUSA
  2. 2.School of Computer ScienceReykjavik UniversityReykjavikIceland
  3. 3.Faculty of EngineeringBar-Ilan UniversityRamat GanIsrael

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