On Vertices Enforcing a Hamiltonian Cycle

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...

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Bibliographic Details
Main Authors: Fabrici Igor, Hexel Erhard, Jendrol’ Stanislav
Format: Article
Language:English
Published: Sciendo 2013-03-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1653