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

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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.

Original languageEnglish
Title of host publicationCiE
EditorsGianluca Della Vedova, Besik Dundua, Steffen Lempp, Florin Manea
PublisherSpringer Science and Business Media Deutschland GmbH
Pages287-296
Number of pages10
ISBN (Print)9783031369773
DOIs
StatePublished - 2023
EventProceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023 - Batumi, Georgia
Duration: 24 Jul 202328 Jul 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13967 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceProceedings of the 19th International Conference on on Unity of Logic and Computation, CiE 2023
Country/TerritoryGeorgia
CityBatumi
Period24/07/2328/07/23

Bibliographical note

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Keywords

  • edge disjoint st-paths
  • minimum power
  • wireless networks

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