Autor según el artículo: Fernau, Henning; Rodriguez-Velazquez, Juan A.;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Rodríguez Velázquez, Juan Alberto
Palabras clave: Np-hardness Metric dimension Local metric dimension Adjacency dimension
Resumen: The metric dimension is quite a well-studied graph parameter. Recently, the adjacency metric dimension and the local metric dimension have been introduced. We combine these variants and introduce the local adjacency metric dimension. We show that the (local) metric dimension of the corona product of a graph of order and some non-trivial graph equals times the (local) adjacency metric dimension of . This strong relation also enables us to infer computational hardness results for computing the (local) metric dimension, based on according hardness results for (local) adjacency metric dimension that we also provide. We also study combinatorial properties of the strong product of graphs and emphasize the role of different types of twins play in determining in particular the adjacency metric dimension of a graph.
Áreas temáticas: Mathematics, applied Matemática / probabilidade e estatística Linguística e literatura Interdisciplinar Ensino Engenharias iv Engenharias iii Engenharias i Discrete mathematics and combinatorics Ciências biológicas i 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: 2024-09-07
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
Enlace a la fuente original: https://www.sciencedirect.com/science/article/pii/S0166218X17305401
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Discrete Applied Mathematics. 236 (C): 183-202
Referencia de l'ítem segons les normes APA: Fernau, Henning; Rodriguez-Velazquez, Juan A.; (2018). On the (adjacency) metric dimension of corona and strong product graphs and their local variants: combinatorial and computational results. Discrete Applied Mathematics, 236(C), 183-202. DOI: 10.1016/j.dam.2017.11.019
DOI del artículo: 10.1016/j.dam.2017.11.019
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2018
Tipo de publicación: Journal Publications
Repositori URV