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On distances in generalized Sierpinski graphs

  • Identification data

    Identifier: imarina:5133138
    Authors:
    Estrada-Moreno, AlejandroRodriguez-Bazan, Erick D.Rodriguez-Velazquez, Juan A.
    Abstract:
    In this paper we propose formulas for the distance between vertices of a generalized Sierpi nski graph S(G; t) in terms of the distance between vertices of the base graph G. In particular, we deduce a recursive formula for the distance between an arbitrary vertex and an extreme vertex of S(G; t), and we obtain a recursive formula for the distance between two arbitrary vertices of S(G; t) when the base graph is triangle-free. From these recursive formulas, we provide algorithms to compute the distance between vertices of S(G; t). In addition, we give an explicit formula for the diameter and radius of S(G; t) when the base graph is a tree.
  • Others:

    Author, as appears in the article.: Estrada-Moreno, Alejandro; Rodriguez-Bazan, Erick D.; Rodriguez-Velazquez, Juan A.;
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Estrada Moreno, Alejandro / Rodríguez Velázquez, Juan Alberto
    Keywords: Sierpiński graphs Generalized sierpiński graphs Distances in graphs
    Abstract: In this paper we propose formulas for the distance between vertices of a generalized Sierpi nski graph S(G; t) in terms of the distance between vertices of the base graph G. In particular, we deduce a recursive formula for the distance between an arbitrary vertex and an extreme vertex of S(G; t), and we obtain a recursive formula for the distance between two arbitrary vertices of S(G; t) when the base graph is triangle-free. From these recursive formulas, we provide algorithms to compute the distance between vertices of S(G; t). In addition, we give an explicit formula for the diameter and radius of S(G; t) when the base graph is a tree.
    Thematic Areas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Engenharias iii Discrete mathematics and combinatorics Ciência da computação Applied mathematics Analysis
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: alejandro.estrada@urv.cat juanalberto.rodriguez@urv.cat
    Author identifier: 0000-0001-9767-2177 0000-0002-9082-7647
    Record's date: 2024-09-07
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: http://www.doiserbia.nb.rs/Article.aspx?ID=1452-86301800001E#.YjYculXMKJA
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Applicable Analysis And Discrete Mathematics. 12 (1): 49-69
    APA: Estrada-Moreno, Alejandro; Rodriguez-Bazan, Erick D.; Rodriguez-Velazquez, Juan A.; (2018). On distances in generalized Sierpinski graphs. Applicable Analysis And Discrete Mathematics, 12(1), 49-69. DOI: 10.2298/AADM160802001E
    Article's DOI: 10.2298/AADM160802001E
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2018
    Publication Type: Journal Publications
  • Keywords:

    Analysis,Applied Mathematics,Discrete Mathematics and Combinatorics,Mathematics,Mathematics, Applied
    Sierpiński graphs
    Generalized sierpiński graphs
    Distances in graphs
    Mathematics, applied
    Mathematics
    Matemática / probabilidade e estatística
    Engenharias iii
    Discrete mathematics and combinatorics
    Ciência da computação
    Applied mathematics
    Analysis
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