TY - GEN

T1 - An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.

AU - Nutov, Zeev

N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - edge disjoint st-paths

KW - minimum power

KW - wireless networks

UR - http://www.scopus.com/inward/record.url?scp=85172412872&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-36978-0_23

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

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AN - SCOPUS:85172412872

SN - 9783031369773

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 287

EP - 296

BT - CiE

A2 - Della Vedova, Gianluca

A2 - Dundua, Besik

A2 - Lempp, Steffen

A2 - Manea, Florin

PB - Springer Science and Business Media Deutschland GmbH

T2 - Proceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023

Y2 - 24 July 2023 through 28 July 2023

ER -