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Description
  • Hamiltonovský index grafu G je definován jako nejmenší přirozené číslo k, pro které je k-tý iterovaný hranový graf grafu G hamiltonovský. V článku nejprve ukazujeme, že, s jednou výjimkou, přidání hrany do grafu nemůže zvýšit jeho hamiltonovský index. Tento výsledek je použit k důkazu toho, že operace kontrakce A(F)-kontrahovatelného podgrafu F grafu G ani uzávěrová operace, aplikovaná na G (pokud G je grafem bez K(1,3)), nemění hodnotu hamiltonovakého indexu grafu G. (cs)
  • The hamiltonian index of a graph G is the smallest integer k such that the k-th iterated line graph of G is hamiltonian. We first show that, with one exceptional case, adding an edge to a graph cannot increase its hamiltonian index. We use this result to prove that neither the contraction of an A(F)-contractible subgraph F of a graph G nor the closure operation performed on G (if G is claw-free) affects the value of the hamiltonian index of a graph G.
  • The hamiltonian index of a graph G is the smallest integer k such that the k-th iterated line graph of G is hamiltonian. We first show that, with one exceptional case, adding an edge to a graph cannot increase its hamiltonian index. We use this result to prove that neither the contraction of an A(F)-contractible subgraph F of a graph G nor the closure operation performed on G (if G is claw-free) affects the value of the hamiltonian index of a graph G. (en)
Title
  • On stability of the hamiltonian index under contractions and closures
  • Stabilita hamiltonovského indexu při kontrakcích a uzávěrech (cs)
  • On stability of the hamiltonian index under contractions and closures (en)
skos:prefLabel
  • On stability of the hamiltonian index under contractions and closures
  • Stabilita hamiltonovského indexu při kontrakcích a uzávěrech (cs)
  • On stability of the hamiltonian index under contractions and closures (en)
skos:notation
  • RIV/49777513:23520/05:00000344!RIV07-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 104
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM4977751301)
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
  • 534421
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/05:00000344
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • hamiltonian index; closure; contraction; line graph (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [C4C13A34D685]
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
  • Xiong, Liming
  • Broersma, Hajo
http://linked.open...n/vavai/riv/zamer
issn
  • 0364-9024
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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