An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.

Zeev Nutov

doi:10.1007/978-3-031-36978-0_23

An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.

Zeev Nutov

Computer Science discipline

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

Abstract

In minimum power network design problems we are given an undirected graph G= (V, E) with edge costs { c_e: e∈ E}. The goal is to find an edge set F⊆ E that satisfies a prescribed property of minimum power pc(F)=∑v∈Vmax{ce:e∈Fisincidenttov}. In the Min-Power k Edge Disjoint st -Paths problem F should contain k edge disjoint st-paths. The problem admits a k-approximation algorithm, and it was an open question whether it admits an approximation ratio sublinear in k even for unit costs. We give a 42k -approximation algorithm for general costs.

Original language	English
Title of host publication	CiE
Editors	Gianluca Della Vedova, Besik Dundua, Steffen Lempp, Florin Manea
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	287-296
Number of pages	10
ISBN (Print)	9783031369773
DOIs	https://doi.org/10.1007/978-3-031-36978-0_23
State	Published - 2023
Event	Proceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023 - Batumi, Georgia Duration: 24 Jul 2023 → 28 Jul 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13967 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	Proceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023
Country/Territory	Georgia
City	Batumi
Period	24/07/23 → 28/07/23

Bibliographical note

DBLP License: DBLP's bibliographic metadata records provided through http://dblp.org/ are distributed under a Creative Commons CC0 1.0 Universal Public Domain Dedication. Although the bibliographic metadata records are provided consistent with CC0 1.0 Dedication, the content described by the metadata records is not. Content may be subject to copyright, rights of privacy, rights of publicity and other restrictions.

Keywords

edge disjoint st-paths
minimum power
wireless networks

Access to Document

10.1007/978-3-031-36978-0_23

Cite this

Nutov, Z. (2023). An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths. In G. Della Vedova, B. Dundua, S. Lempp, & F. Manea (Eds.), CiE (pp. 287-296). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13967 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-36978-0_23

Nutov, Zeev. / An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths. CiE. editor / Gianluca Della Vedova ; Besik Dundua ; Steffen Lempp ; Florin Manea. Springer Science and Business Media Deutschland GmbH, 2023. pp. 287-296 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.",

abstract = "In minimum power network design problems we are given an undirected graph G= (V, E) with edge costs { ce: e∈ E}. The goal is to find an edge set F⊆ E that satisfies a prescribed property of minimum power pc(F)=∑v∈Vmax{ce:e∈Fisincidenttov}. In the Min-Power k Edge Disjoint st -Paths problem F should contain k edge disjoint st-paths. The problem admits a k-approximation algorithm, and it was an open question whether it admits an approximation ratio sublinear in k even for unit costs. We give a 42k -approximation algorithm for general costs.",

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Nutov, Z 2023, An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths. in G Della Vedova, B Dundua, S Lempp & F Manea (eds), CiE. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13967 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 287-296, Proceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023, Batumi, Georgia, 24/07/23. https://doi.org/10.1007/978-3-031-36978-0_23

An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths. / Nutov, Zeev.
CiE. ed. / Gianluca Della Vedova; Besik Dundua; Steffen Lempp; Florin Manea. Springer Science and Business Media Deutschland GmbH, 2023. p. 287-296 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13967 LNCS).

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

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Nutov Z. An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths. In Della Vedova G, Dundua B, Lempp S, Manea F, editors, CiE. Springer Science and Business Media Deutschland GmbH. 2023. p. 287-296. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-36978-0_23

An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.

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