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ON THE ADJACENCY DIMENSION OF GRAPHS

  • Datos identificativos

    Identificador: imarina:9295800
    Autores:
    Estrada-Moreno, A.Ramirez-Cruz, Y.Rodriguez-Velazquez, J. A.
    Resumen:
    In this article we study the problem of finding the k-adjacency dimension of a graph. We give some necessary and sufficient conditions for the existence of a k-adjacency basis of an arbitrary graph G and we obtain general results on the k-adjacency dimension, including general bounds and closed formulae for some families of graphs.
  • Otros:

    Autor según el artículo: Estrada-Moreno, A.; Ramirez-Cruz, Y.; Rodriguez-Velazquez, J. A.;
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Estrada Moreno, Alejandro / Rodríguez Velázquez, Juan Alberto
    Palabras clave: Metric dimension K-metric dimension Adjacency dimension
    Resumen: In this article we study the problem of finding the k-adjacency dimension of a graph. We give some necessary and sufficient conditions for the existence of a k-adjacency basis of an arbitrary graph G and we obtain general results on the k-adjacency dimension, including general bounds and closed formulae for some families of graphs.
    Áreas temáticas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Engenharias iii Discrete mathematics and combinatorics Ciência da computação Applied mathematics Analysis
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: alejandro.estrada@urv.cat juanalberto.rodriguez@urv.cat
    Identificador del autor: 0000-0001-9767-2177 0000-0002-9082-7647
    Fecha de alta del registro: 2024-09-07
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    Enlace a la fuente original: http://pefmath.etf.rs/component/papers/?vol=10&no=1&year=2016
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Applicable Analysis And Discrete Mathematics. 10 (1): 102-127
    Referencia de l'ítem segons les normes APA: Estrada-Moreno, A.; Ramirez-Cruz, Y.; Rodriguez-Velazquez, J. A.; (2016). ON THE ADJACENCY DIMENSION OF GRAPHS. Applicable Analysis And Discrete Mathematics, 10(1), 102-127. DOI: 10.2298/AADM151109022E
    DOI del artículo: 10.2298/AADM151109022E
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2016
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Analysis,Applied Mathematics,Discrete Mathematics and Combinatorics,Mathematics,Mathematics, Applied
    Metric dimension
    K-metric dimension
    Adjacency dimension
    Mathematics, applied
    Mathematics
    Matemática / probabilidade e estatística
    Engenharias iii
    Discrete mathematics and combinatorics
    Ciência da computação
    Applied mathematics
    Analysis
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