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Discrete Optimization
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Preprint . 2019
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Discrete Optimization
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Discrete Optimization
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Disjoint dominating and 2-dominating sets in graphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2020Embargo end date: 01 Jan 2019 English Publisher:Elsevier BVJournal:Discrete Optimization, volume 35, page 100,553 (issn: 1572-5286, Copyright policy )
Authors: Jerzy Topp; Paweł Żyliński; Mateusz Miotk;

doi: 10.1016/j.disopt.2019.100553 , 10.48550/arxiv.1903.06129

arXiv: http://arxiv.org/abs/1903.06129

Disjoint dominating and 2-dominating sets in graphs

Abstract

A graph $G$ is a $D\!D_2$-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 $D\!D_2$-graphs.

15 pages, 3 figures

Related Organizations
Keywords

2-domination, NP-hardness, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), certified domination, domination, 05C69, 05c85

  • BIP!
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze