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Discrete Mathematics & Theoretical Computer Science
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Forbidden subgraphs for constant domination number

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 04 Jun 2018Embargo end date: 01 Jan 2018 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume Vol. 20 no. 1 (eissn: 1365-8050, Copyright policy )
Authors: Michitaka Furuya;

doi: 10.23638/dmtcs-20-1-19 , 10.48550/arxiv.1803.03913

arXiv: http://arxiv.org/abs/1803.03913

Forbidden subgraphs for constant domination number

Abstract

In this paper, we characterize the sets $\mathcal{H}$ of connected graphs such that there exists a constant $c=c(\mathcal{H})$ satisfying $\gamma (G)\leq c$ for every connected $\mathcal{H}$-free graph $G$, where $\gamma (G)$ is the domination number of $G$.Comment: 6 pages, 1 figure

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Keywords

mathematics - combinatorics, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics

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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!
1
Average
Average
Average
Green
Published in a Diamond OA journal