On open Hamiltonian walks in graphs
Pavel Vacek (1991)
Archivum Mathematicum
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Pavel Vacek (1991)
Archivum Mathematicum
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Frick, Marietjie, Singleton, Joy (2005)
The Electronic Journal of Combinatorics [electronic only]
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Igor Fabrici, Erhard Hexel, Stanislav Jendrol’ (2013)
Discussiones Mathematicae Graph Theory
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A nonempty vertex set X ⊆ V (G) of a hamiltonian graph G is called an H-force set of G if every X-cycle of G (i.e. a cycle of G containing all vertices of X) is hamiltonian. The H-force number h(G) of a graph G is defined to be the smallest cardinality of an H-force set of G. In the paper the study of this parameter is introduced and its value or a lower bound for outerplanar graphs, planar graphs, k-connected graphs and prisms over graphs is determined.
Bullock, Frank, Dankelmann, Peter, Frick, Marietjie, Henning, Michael A., Oellermann, Ortrud R., van Aardt, Susan (2011)
The Electronic Journal of Combinatorics [electronic only]
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Günter Schaar (1989)
Archivum Mathematicum
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Jan Kratochvíl, Dainis A. Zeps (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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