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  • V příspěvku se zabýváme rektilineárními Steinerovy stromy a jejich aproximací rektilineární kostrou grafu. Je známo, že aproximační poměr této aproximace (nazývaný Steinerův poměr) je roven 1.50. V literatuře lze najít několik odlišných důkazů tohoto tvrzení. Ukážeme zde, že důkaz prezentovaný v [7] je chybný a dále, jak jej třeba modifikovat, aby byl korektní. (cs)
  • 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 the proof presented in [7] is mistaken and propose its modification to prove the Steiner ratio correctly.
  • 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 the proof presented in [7] is mistaken and propose its modification to prove the Steiner ratio correctly. (en)
Title
  • Some Remarks to Proofs of Steiner Ratio for Rectilinear Steiner Trees
  • Několik poznámek k důkazům Steinerova poměru pro rektilineární Steinerovy stromy (cs)
  • Some Remarks to Proofs of Steiner Ratio for Rectilinear Steiner Trees (en)
skos:prefLabel
  • Some Remarks to Proofs of Steiner Ratio for Rectilinear Steiner Trees
  • Několik poznámek k důkazům Steinerova poměru pro rektilineární Steinerovy stromy (cs)
  • Some Remarks to Proofs of Steiner Ratio for Rectilinear Steiner Trees (en)
skos:notation
  • RIV/00216305:26210/05:PU53772!RIV06-MSM-26210___
http://linked.open.../vavai/riv/strany
  • 82-88
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021630518)
http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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http://linked.open...titaPredkladatele
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  • 543532
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26210/05:PU53772
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http://linked.open.../riv/klicovaSlova
  • rectilinear metric, Steiner tree, spanning tree, approximation, Steiner ratio (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GR - Řecká republika
http://linked.open...ontrolniKodProRIV
  • [0B509F658272]
http://linked.open...i/riv/nazevZdroje
  • WSEAS Transactions on Mathematics
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 4
http://linked.open...iv/tvurceVysledku
  • Šeda, Miloš
http://linked.open...n/vavai/riv/zamer
issn
  • 1109-2769
number of pages
http://localhost/t...ganizacniJednotka
  • 26210
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