On Unique Minimum Dominating Sets in Some Cartesian Product Graphs

Unique minimum vertex dominating sets in the Cartesian product of a graph with a complete graph are considered. We first give properties of such sets when they exist. We then show that when the first factor of the product is a tree, consideration of the tree alone is sufficient to determine if the p...

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Bibliographic Details
Main Author: Hedetniemi Jason T.
Format: Article
Language:English
Published: Sciendo 2015-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1822