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Description
  • V článku zavádíme uzávěrovou techniku ve třídě hranových grafů a grafů bez K(1,3), která je založena na kontrahovatelnosti jistých podgrafů ve vzoru daného grafu při operaci hranového grafu. Tento uzávěr je společným zobecněním a zesílením redukční techniky, kterou zavedli Catlin a Veldman, a uzávěrové operace zavedené prvním autorem. Ukazujeme, že uzávěr je určen jednoznačně a že uzávěrová operace zachovává délku nejdelší kružnice v grafu. (cs)
  • We introduce a closure concept in the class of line graphs and claw-free graphs based on contractibility of certain subgraphs in the line graph preimage. The closure can be considered as a common generalization and strengthening of the reduction techniques of Catlin and Veldman and of the closure concept introduced by the first author. We show that the closure is uniquely determined and the closure operation preserves the circumference of the graph.
  • We introduce a closure concept in the class of line graphs and claw-free graphs based on contractibility of certain subgraphs in the line graph preimage. The closure can be considered as a common generalization and strengthening of the reduction techniques of Catlin and Veldman and of the closure concept introduced by the first author. We show that the closure is uniquely determined and the closure operation preserves the circumference of the graph. (en)
Title
  • Techniky kontrahovatelných podgrafů jako uzávěrová operace (cs)
  • Contractibility techniques as a closure concept
  • Contractibility techniques as a closure concept (en)
skos:prefLabel
  • Techniky kontrahovatelných podgrafů jako uzávěrová operace (cs)
  • Contractibility techniques as a closure concept
  • Contractibility techniques as a closure concept (en)
skos:notation
  • RIV/49777513:23520/03:00000218!RIV07-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 37
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LN00A056), Z(MSM 235200001)
http://linked.open...iv/cisloPeriodika
  • 0
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 602122
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/03:00000218
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • closure; contractible graphs; collapsible graphs; line graphs; Hamiltonian graphs; circumference (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [38786DE068E3]
http://linked.open...i/riv/nazevZdroje
  • Journal of Graph Theory
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Ryjáček, Zdeněk
  • Schelp, R. H.
http://linked.open...n/vavai/riv/zamer
issn
  • 0364-9024
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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