Eternal Domination: Criticality and Reachability

We show that for every minimum eternal dominating set, D, of a graph G and every vertex v ∈ D, there is a sequence of attacks at the vertices of G which can be defended in such a way that an eternal dominating set not containing v is reached. The study of the stronger assertion that such a set can b...

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Bibliographic Details
Main Authors: Klostermeyer William F., MacGillivray Gary
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.1918