On the H-Force Number of Hamiltonian Graphs and Cycle Extendability

The H-force number h(G) of a hamiltonian graph G is the smallest cardinality of a set A ⊆ V (G) such that each cycle containing all vertices of A is hamiltonian. In this paper a lower and an upper bound of h(G) is given. Such graphs, for which h(G) assumes the lower bound are characterized by a cycl...

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Bibliographic Details
Main Author: Hexel Erhard
Format: Article
Language:English
Published: University of Zielona Góra 2017-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1923