Improved approximation algorithms for relay placement

Alon Efrat, Sándor P. Fekete, Poornananda R. Gaddehosur, Joseph S.B. Mitchell, Valentin Polishchuk, Jukka Suomela

Research output: Chapter in Book/Report/Conference proceedingConference contribution

38 Scopus citations

Abstract

In the relay placement problem the input is a set of sensors and a number r ≥ 1, the communication range of a relay. The objective is to place a minimum number of relays so that between every pair of sensors there is a path through sensors and/or relays such that the consecutive vertices of the path are within distance r if both vertices are relays and within distance 1 otherwise. We present a 3.11-approximation algorithm, and show that the problem admits no PTAS, assuming P ≠ NP.

Original languageEnglish (US)
Title of host publicationAlgorithms - ESA 2008 - 16th Annual European Symposium, Proceedings
Pages356-367
Number of pages12
DOIs
StatePublished - Dec 24 2008
Event16th Annual European Symposium on Algorithms, ESA 2008 - Karlsruhe, Germany
Duration: Sep 15 2008Sep 17 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5193 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other16th Annual European Symposium on Algorithms, ESA 2008
CountryGermany
CityKarlsruhe
Period9/15/089/17/08

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Efrat, A., Fekete, S. P., Gaddehosur, P. R., Mitchell, J. S. B., Polishchuk, V., & Suomela, J. (2008). Improved approximation algorithms for relay placement. In Algorithms - ESA 2008 - 16th Annual European Symposium, Proceedings (pp. 356-367). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5193 LNCS). https://doi.org/10.1007/978-3-540-87744-8-30