On Graphs with Disjoint Dominating and 2-Dominating Sets

A DD2-pair of a graph G is a pair (D,D2) of disjoint sets of vertices of G such that D is a dominating set and D2 is a 2-dominating set of G. Although there are infinitely many graphs that do not contain a DD2-pair, we show that every graph with minimum degree at least two has a DD2-pair. We provide...

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Bibliographic Details
Main Authors: Henning Michael A., Rall Douglas F.
Format: Article
Language:English
Published: Sciendo 2013-03-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1652