Optimal insertion of a segment highway in a city metric

Matias Korman, Takeshi Tokuyama

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

7 Citations (Scopus)

Abstract

Given two sets of points in the plane, we are interested in locating a highway h such that an objective function on the city distance between points of the two sets is minimized (where the city distance is measured with speed v > 1 on a highway and 1 in the underlying metric elsewhere). Extending the results of Ahn et al. ([7]), we consider the option that there are already some built highways. We give a unified approach to this problem to design polynomial-time algorithms for several combinations of objective functions and types of the inserted highway (turnpike or freeway).

Original languageEnglish
Title of host publicationComputing and Combinatorics - 14th Annual International Conference, COCOON 2008, Proceedings
Pages611-620
Number of pages10
DOIs
Publication statusPublished - 2008 Aug 4
Event14th Annual International Conference on Computing and Combinatorics, COCOON 2008 - Dalian, China
Duration: 2008 Jun 272008 Jun 29

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5092 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other14th Annual International Conference on Computing and Combinatorics, COCOON 2008
CountryChina
CityDalian
Period08/6/2708/6/29

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Korman, M., & Tokuyama, T. (2008). Optimal insertion of a segment highway in a city metric. In Computing and Combinatorics - 14th Annual International Conference, COCOON 2008, Proceedings (pp. 611-620). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5092 LNCS). https://doi.org/10.1007/978-3-540-69733-6_60