TY - GEN
T1 - An $O(\sqrt{k})$-Approximation Algorithm for Minimum Power k Edge Disjoint st-Paths.
AU - Nutov, Zeev
N1 - 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.
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 - https://www.scopus.com/pages/publications/85172412872
U2 - 10.1007/978-3-031-36978-0_23
DO - 10.1007/978-3-031-36978-0_23
M3 - Conference contribution
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 -