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Brief Announcement: Simple and Local Independent Set Approximation

Published: 23 July 2018 Publication History

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.

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      PODC '18: Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing
      July 2018
      512 pages
      ISBN:9781450357951
      DOI:10.1145/3212734
      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      Publication History

      Published: 23 July 2018

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      Author Tags

      1. approximation algorithm
      2. distributed algorithm
      3. independent set
      4. turan bound

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      • Israel Science Foundation
      • Icelandic Research Fund

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      PODC '18

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      PODC '18 Paper Acceptance Rate 41 of 163 submissions, 25%;
      Overall Acceptance Rate 740 of 2,477 submissions, 30%

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