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The strong metric dimension of generalized Sierpínski graphs with pendant vertices

  • Identification data

    Identifier: imarina:9282635
  • Authors:

    Estaji E
    Rod?iguez-Ve?azquez JA
  • Others:

    Author, as appears in the article.: Estaji E; Rod?iguez-Ve?azquez JA
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Rodríguez Velázquez, Juan Alberto
    Keywords: Strong metric dimension Sierpiński graphs Sierpi?ski graphs
    Abstract: Let G be a connected graph of order n having ?(G) end-vertices. Given a positive integer t, we denote by S(G; t) the t-Th generalized Sierpínski graph of G. In this note we show that if every internal vertex of G is a cut vertex, then the strong metric dimension of S(G; t) is given by dims(S(G; t)) = ?(G) (nt - 2nt-1 + 1) - n + 1/ n - 1.
    Thematic Areas: Theoretical computer science Mathematics, applied Mathematics Matemática / probabilidade e estatística Geometry and topology Discrete mathematics and combinatorics Algebra and number theory
    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: 2024-07-27
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://amc-journal.eu/index.php/amc/article/view/813
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Ars Mathematica Contemporanea. 12 (1): 127-134
    APA: Estaji E; Rod?iguez-Ve?azquez JA (2017). The strong metric dimension of generalized Sierpínski graphs with pendant vertices. Ars Mathematica Contemporanea, 12(1), 127-134. DOI: 10.26493/1855-3974.813.903
    Article's DOI: 10.26493/1855-3974.813.903
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2017
    Publication Type: Journal Publications
  • Keywords:

    Algebra and Number Theory,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematics,Mathematics, Applied,Theoretical Computer Science
    Strong metric dimension
    Sierpiński graphs
    Sierpi?ski graphs
    Theoretical computer science
    Mathematics, applied
    Mathematics
    Matemática / probabilidade e estatística
    Geometry and topology
    Discrete mathematics and combinatorics
    Algebra and number theory
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