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 (Δ + 1)/2-approximation in unweighted graphs of maximum degree Δ, which is best possible for 1-round distributed algorithms. For weighted graphs, it gives only a (Δ + 1)-approximation, but a simple modification results in an asymptotic expected 0.529(Δ + 1)-approximation. This compares with a recent, more complex Δ-approximation [6], which holds determin-istically.

Original languageEnglish
Title of host publication25th International Colloquium, SIROCCO 2018, Revised Selected Papers
EditorsZvi Lotker, Boaz Patt-Shamir
PublisherSpringer Verlag
Pages88-101
Number of pages14
ISBN (Print)9783030013240
DOIs
StatePublished - 2018
Event25th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2018 - Ma’ale HaHamisha, Israel
Duration: 18 Jun 201821 Jun 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11085

Conference

Conference25th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2018
Country/TerritoryIsrael
CityMa’ale HaHamisha
Period18/06/1821/06/18

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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