Reconfiguring Minimum Dominating Sets: The γ-Graph of a Tree

We consider γ-graphs, which are reconfiguration graphs of the minimum dominating sets of a graph G. We answer three open questions about γ- graphs of trees by providing upper bounds on the maximum degree, the diameter, and the number of minimum dominating sets. The latter gives an upper bound on the...

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Bibliographic Details
Main Authors: Edwards Michelle, MacGillivray Gary, Nasserasr Shahla
Format: Article
Language:English
Published: Sciendo 2018-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2044