Author, as appears in the article.: Estaji, Ehsan; Rodriguez-Velazquez, Juan Alberto
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Rodríguez Velázquez, Juan Alberto
Keywords: Strong metric dimension; Sierpiński graphs; Sierpiński graph; Sierpi?ski graphs
Abstract: Let G be a connected graph of order n having epsilon(G) end-vertices. Given a positive integer t, we denote by S (G, t) the t-th generalized Sierpi ' nski 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 dim(s)(S(G,t)) = epsilon(G) (n(t) - 2n(t-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
Record's date: 2024-10-26
Paper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://amc-journal.eu/index.php/amc/article/view/813
Paper original source: Ars Mathematica Contemporanea. 12 (1): 127-134
APA: Estaji, Ehsan; Rodriguez-Velazquez, Juan Alberto (2017). The strong metric dimension of generalized Sierpinski graphs with pendant vertices. Ars Mathematica Contemporanea, 12(1), 127-134. DOI: 10.26493/1855-3974.813.903
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.26493/1855-3974.813.903
Entity: Universitat Rovira i Virgili
Journal publication year: 2017
Publication Type: Journal Publications
Repositori URV