Distributed Fractional Local Ratio and Independent Set Approximation

Magnús M. Halldórsson; Dror Rawitz

doi:10.1007/978-3-031-60603-8_16

Distributed Fractional Local Ratio and Independent Set Approximation

Magnús M. Halldórsson, Dror Rawitz

Bar-Ilan University - The Alexander Kofkin Faculty of Engineering

Bar-Ilan University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the Maximum Weight Independent Set problem, with a focus on obtaining good approximations for graphs of small maximum degree Δ. We give deterministic local algorithms running in time poly(Δ,logn) that come close to matching the best centralized results known and improve the previous distributed approximations by a factor of about 2. More precisely, we obtain approximations below Δ+1/22, and a further improvement to 8/5+ε when Δ=3. Technically, this is achieved by leveraging the fractional local ratio technique, for a first application in a distributed setting.

Original language	English
Title of host publication	Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings
Editors	Yuval Emek
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	281-299
Number of pages	19
ISBN (Print)	9783031606021
DOIs	https://doi.org/10.1007/978-3-031-60603-8_16
State	Published - 2024
Event	31st International Colloquium on Structural Information and Communication Complexity, SIROCCO 2024 - Vietri sul Mare, Italy Duration: 27 May 2024 → 29 May 2024

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14662 LNCS

Conference

Conference	31st International Colloquium on Structural Information and Communication Complexity, SIROCCO 2024
Country/Territory	Italy
City	Vietri sul Mare
Period	27/05/24 → 29/05/24

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-031-60603-8_16

Cite this

Halldórsson, M. M., & Rawitz, D. (2024). Distributed Fractional Local Ratio and Independent Set Approximation. In Y. Emek (Ed.), Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings (pp. 281-299). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14662 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-60603-8_16

Halldórsson, Magnús M. ; Rawitz, Dror. / Distributed Fractional Local Ratio and Independent Set Approximation. Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings. editor / Yuval Emek. Springer Science and Business Media Deutschland GmbH, 2024. pp. 281-299 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We consider the Maximum Weight Independent Set problem, with a focus on obtaining good approximations for graphs of small maximum degree Δ. We give deterministic local algorithms running in time poly(Δ,logn) that come close to matching the best centralized results known and improve the previous distributed approximations by a factor of about 2. More precisely, we obtain approximations below Δ+1/22, and a further improvement to 8/5+ε when Δ=3. Technically, this is achieved by leveraging the fractional local ratio technique, for a first application in a distributed setting.",

author = "Halld{\'o}rsson, {Magn{\'u}s M.} and Dror Rawitz",

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Halldórsson, MM & Rawitz, D 2024, Distributed Fractional Local Ratio and Independent Set Approximation. in Y Emek (ed.), Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14662 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 281-299, 31st International Colloquium on Structural Information and Communication Complexity, SIROCCO 2024, Vietri sul Mare, Italy, 27/05/24. https://doi.org/10.1007/978-3-031-60603-8_16

Distributed Fractional Local Ratio and Independent Set Approximation. / Halldórsson, Magnús M.; Rawitz, Dror.
Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings. ed. / Yuval Emek. Springer Science and Business Media Deutschland GmbH, 2024. p. 281-299 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14662 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - We consider the Maximum Weight Independent Set problem, with a focus on obtaining good approximations for graphs of small maximum degree Δ. We give deterministic local algorithms running in time poly(Δ,logn) that come close to matching the best centralized results known and improve the previous distributed approximations by a factor of about 2. More precisely, we obtain approximations below Δ+1/22, and a further improvement to 8/5+ε when Δ=3. Technically, this is achieved by leveraging the fractional local ratio technique, for a first application in a distributed setting.

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Halldórsson MM, Rawitz D. Distributed Fractional Local Ratio and Independent Set Approximation. In Emek Y, editor, Structural Information and Communication Complexity - 31st International Colloquium, SIROCCO 2024, Proceedings. Springer Science and Business Media Deutschland GmbH. 2024. p. 281-299. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-60603-8_16

Distributed Fractional Local Ratio and Independent Set Approximation

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