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Description
  • We introduce a closure concept for 2-factors in claw-free graphs that generalizes the closure introduced by the first author. The 2-factor closure of a graph is uniquely determined and the closure operation turns a claw-free graph into the line graph of a graph containing no cycles of length at most 5 and no cycles of length 6 satisfying a certain condition. A graph has a 2-factor if and only if its closure has a 2-factor; however, the closure operation preserves neither the minimum number of components of a 2-factor nor the hamiltonicity or nonhamiltonicity of a graph.
  • We introduce a closure concept for 2-factors in claw-free graphs that generalizes the closure introduced by the first author. The 2-factor closure of a graph is uniquely determined and the closure operation turns a claw-free graph into the line graph of a graph containing no cycles of length at most 5 and no cycles of length 6 satisfying a certain condition. A graph has a 2-factor if and only if its closure has a 2-factor; however, the closure operation preserves neither the minimum number of components of a 2-factor nor the hamiltonicity or nonhamiltonicity of a graph. (en)
Title
  • Closure concept for 2-factors in claw-free graphs
  • Closure concept for 2-factors in claw-free graphs (en)
skos:prefLabel
  • Closure concept for 2-factors in claw-free graphs
  • Closure concept for 2-factors in claw-free graphs (en)
skos:notation
  • RIV/49777513:23520/10:00503452!RIV11-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 10-11
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
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  • 250981
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/10:00503452
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • closure; claw-free graph; 2-factor (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [308CFB76BA2C]
http://linked.open...i/riv/nazevZdroje
  • Discrete Mathematics
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...v/svazekPeriodika
  • 310
http://linked.open...iv/tvurceVysledku
  • Ryjáček, Zdeněk
  • Xiong, Liming
  • Yoshimoto, Kiyoshi
http://linked.open...n/vavai/riv/zamer
issn
  • 0012-365X
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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