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A note on double domination in graphs

  • Identification data

    Identifier: imarina:9216912
    Authors:
    Cabrera-Martinez, AbelAlberto Rodriguez-Velazquez, Juan
    Abstract:
    Recently, Haynes, Hedetniemi and Henning published the book Topics in Domination in Graphs, which comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. One of these contributions is the chapter Multiple Domination, by Hansberg and Volkmann, where they put into context all relevant research results on multiple domination that have been found up to 2020. In this note, we show how to improve some results on double domination that are included in the book.
  • Others:

    Author, as appears in the article.: Cabrera-Martinez, Abel; Alberto Rodriguez-Velazquez, Juan
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: CABRERA MARTÍNEZ, ABEL / Rodríguez Velázquez, Juan Alberto
    Keywords: Vertex cover Parameters Independent set Double domination Double dominating set Dominating set vertex cover ratios independent set double dominating set dominating set
    Abstract: Recently, Haynes, Hedetniemi and Henning published the book Topics in Domination in Graphs, which comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. One of these contributions is the chapter Multiple Domination, by Hansberg and Volkmann, where they put into context all relevant research results on multiple domination that have been found up to 2020. In this note, we show how to improve some results on double domination that are included in the book.
    Thematic Areas: Mathematics, applied Matemática / probabilidade e estatística Linguística e literatura Interdisciplinar Ensino Engenharias iv Engenharias iii Engenharias i Discrete mathematics and combinatorics Ciências biológicas i Ciência da computação Applied mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0002-9082-7647
    Record's date: 2024-10-26
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://www.sciencedirect.com/science/article/abs/pii/S0166218X21002006
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Discrete Applied Mathematics. 300 107-111
    APA: Cabrera-Martinez, Abel; Alberto Rodriguez-Velazquez, Juan (2021). A note on double domination in graphs. Discrete Applied Mathematics, 300(), 107-111. DOI: 10.1016/j.dam.2021.05.011
    Article's DOI: 10.1016/j.dam.2021.05.011
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Discrete Mathematics and Combinatorics,Mathematics, Applied
    Vertex cover
    Parameters
    Independent set
    Double domination
    Double dominating set
    Dominating set
    vertex cover
    ratios
    independent set
    double dominating set
    dominating set
    Mathematics, applied
    Matemática / probabilidade e estatística
    Linguística e literatura
    Interdisciplinar
    Ensino
    Engenharias iv
    Engenharias iii
    Engenharias i
    Discrete mathematics and combinatorics
    Ciências biológicas i
    Ciência da computação
    Applied mathematics
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