Autor según el artículo: Kuziak, Dorota; Rodriguez-Velazquez, Juan A; Yero, Ismael G
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Rodríguez Velázquez, Juan Alberto
Palabras clave: Rooted product graphs Primary subgraphs Metric dimension Metric basis Corona product graphs
Resumen: Let G be a connected graph. Given an ordered set W = {w1, . . . , wk} V (G) and a vertex u V (G), the representation of u with respect to W is the ordered k-tuple (d(u, w1), d(u, w2), . . . , d(u, wk)), where d(u, wi) denotes the distance between u and wi. The set W is a metric generator for G if every two different vertices of G have distinct representations. A minimum cardinality metric generator is called a metric basis of G and its cardinality is called the metric dimension of G. It is well known that the problem of finding the metric dimension of a graph is NP-hard. In this paper we obtain closed formulae for the metric dimension of graphs with cut vertices. The main results are applied to specific constructions including rooted product graphs, corona product graphs, block graphs and chains of graphs.
Áreas temáticas: Mathematics Matemática / probabilidade e estatística Discrete mathematics and combinatorics Ciência da computação Applied mathematics
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: juanalberto.rodriguez@urv.cat
Identificador del autor: 0000-0002-9082-7647
Fecha de alta del registro: 2024-10-26
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
Enlace a la fuente original: https://www.dmgt.uz.zgora.pl/publish/volume.php?volume=37_1
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Discussiones Mathematicae Graph Theory. 37 (1): 273-293
Referencia de l'ítem segons les normes APA: Kuziak, Dorota; Rodriguez-Velazquez, Juan A; Yero, Ismael G (2017). Computing the metric dimension of a graph from primary subgraphs. Discussiones Mathematicae Graph Theory, 37(1), 273-293. DOI: 10.7151/dmgt.1934
DOI del artículo: 10.7151/dmgt.1934
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2017
Tipo de publicación: Journal Publications
Repositori URV