Brief announcement: Simple and local independent set approximation

Ravi B. Boppana, Magnús M. Halldórsson, Dror Rawitz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 (∆+1)/2-approximation in unweighted graphs of maximum degree ∆, which is best possible for 1-round distributed algorithms. For weighted graphs, it gives only a (∆+1)-approximation, but a simple modification results in an asymptotic expected 0.529(∆ + 1)-approximation.

Original languageEnglish
Title of host publicationPODC 2018 - Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing
Pages163-165
Number of pages3
DOIs
StatePublished - 23 Jul 2018
Event37th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2018 - Egham, United Kingdom
Duration: 23 Jul 201827 Jul 2018

Publication series

NameProceedings of the Annual ACM Symposium on Principles of Distributed Computing

Conference

Conference37th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2018
Country/TerritoryUnited Kingdom
CityEgham
Period23/07/1827/07/18

Keywords

  • Approximation algorithm
  • Distributed algorithm
  • Independent set
  • Turán bound

All Science Journal Classification (ASJC) codes

  • Software
  • Hardware and Architecture
  • Computer Networks and Communications

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