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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Sciendo
2013-03-01
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Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.1652 |