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  • We show that under certain conditions the square of the graph obtained by identifying a vertex in two graphs with hamiltonian square is also hamiltonian. Using this result, we prove necessary and sufficient conditions for hamiltonicity of the square of a connected graph such that every vertex of degree at least three in a block graph corresponds to a cut vertex and any two these vertices are at distance at least four.
  • We show that under certain conditions the square of the graph obtained by identifying a vertex in two graphs with hamiltonian square is also hamiltonian. Using this result, we prove necessary and sufficient conditions for hamiltonicity of the square of a connected graph such that every vertex of degree at least three in a block graph corresponds to a cut vertex and any two these vertices are at distance at least four. (en)
Title
  • Hamiltonian Cycles in the Square of a Graph
  • Hamiltonian Cycles in the Square of a Graph (en)
skos:prefLabel
  • Hamiltonian Cycles in the Square of a Graph
  • Hamiltonian Cycles in the Square of a Graph (en)
skos:notation
  • RIV/49777513:23520/11:43899234!RIV12-MSM-23520___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 201675
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/11:43899234
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • star; square; block graph; connection of graphs; hamiltonian cycle (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [BE0AAFA2083F]
http://linked.open...i/riv/nazevZdroje
  • ELECTRONIC JOURNAL OF COMBINATORICS
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
  • 18
http://linked.open...iv/tvurceVysledku
  • Ekstein, Jan
issn
  • 1077-8926
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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