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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2018-08-01
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Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2044 |