2019
DOI: 10.48550/arxiv.1903.06129
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Disjoint dominating and 2-dominating sets in graphs

Mateusz Miotk1,
Jerzy Topp2,
Paweł Żyliński3

Abstract: A graph G is a DD 2 -graph if it has a pair (D, D 2 ) of disjoint sets of vertices of G such that D is a dominating set and D 2 is a 2-dominating set of G. We provide several characterizations and hardness results concerning DD 2 -graphs.

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