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Eppstein?s Proof of the Steiner Ratio for Rectilinear Steiner Trees is Mistaken and How to Correct it

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F01%3APU21352" target="_blank" >RIV/00216305:26210/01:PU21352 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Eppstein?s Proof of the Steiner Ratio for Rectilinear Steiner Trees is Mistaken and How to Correct it

  • Original language description

    In this paper, we deal with rectilinear Steiner trees and their approximation by a rectilinear minimum spanning tree. It is known that the approximation ratio (called Steiner ratio) equals 1.50. In literature, several different proofs of this assertion can be found. We show that David Eppstein's proof (presented in [Hochbaum, 1996]) is mistaken and propose its modification to prove the Steiner ratio correctly

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2001

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 7th International Conference on Soft Computing MENDEL 2001

  • ISBN

    80-214-1894-X

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    221-227

  • Publisher name

    VUT FSI v Brně

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Jun 6, 2001

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article