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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)
  • Ukážeme, že za určitých podmínek graf vzniklý ztotožněním vrcholu ve dvou grafech s hamiltonovskou mocninou je rovněž hamiltonovský. Uvedeme nutné a postačující podmínky hamiltonovskosti druhé mocniny souvislého grafu takového, že každý vrchol stupně alespoň tři v blokovém grafu odpovídá artikulaci a každé dva takové vrcholy jsou ve vzdálenosti alespoň čtyři. (cs)
Title
  • Hamiltonian Cycles in the Square of a Graph
  • Hamiltonian Cycles in the Square of a Graph (en)
  • Hamiltonovské kružnice v druhé mocnině grafu (cs)
skos:prefLabel
  • Hamiltonian Cycles in the Square of a Graph
  • Hamiltonian Cycles in the Square of a Graph (en)
  • Hamiltonovské kružnice v druhé mocnině grafu (cs)
skos:notation
  • RIV/49777513:23520/08:00500695!RIV09-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • S
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  • 369768
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  • RIV/49777513:23520/08:00500695
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  • Hamiltonian cycle; connection of the graphs; block graph; square; star. (en)
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http://linked.open...ontrolniKodProRIV
  • [C2882206628A]
http://linked.open...v/mistoKonaniAkce
  • Plzeň
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  • V Plzni
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  • The 2nd Young Researchers Conference on Applied Sciences
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  • Ekstein, Jan
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  • Západočeská univerzita v Plzni
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  • 978-80-7043-698-1
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  • 23520
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