Dispersing obnoxious facilities on a graph

Alexander Grigoriev, Tim A. Hartmann, Stefan Lendl, Gerhard J. Woeginger

Research output: Book/ReportReportAcademic

Abstract

We study a continuous facility location problem on a graph where all edges have unit length and where the facilities may also be positioned in the interior of the edges. The goal is to position as many facilities as possible subject to the condition that any two facilities have at least distance δ from each other. We investigate the complexity of this problem in terms of the rational parameter δ. The problem is polynomially solvable, if the numerator of δ is 1 or 2, while all other cases turn out to be NP-hard.
Original languageEnglish
Place of PublicationCornell University Library, US
PublisherarXiv.org at Cornell University Library
Number of pages13
Volume1811.08918
Publication statusPublished - 21 Nov 2018

Publication series

Seriescs.DS

JEL classifications

  • c00 - Mathematical and Quantitative Methods: General

Keywords

  • Algorithms
  • Complexity
  • Optimization
  • Graph theory
  • Facility location

Cite this

Grigoriev, A., Hartmann, T. A., Lendl, S., & Woeginger, G. J. (2018). Dispersing obnoxious facilities on a graph. arXiv.org at Cornell University Library. cs.DS https://arxiv.org/abs/1811.08918