Autor según el artículo: Estrada-Moreno, Alejandro; Rodriguez-Bazan, Erick D.; Rodriguez-Velazquez, Juan A.;
Departamento: Enginyeria Informàtica i Matemàtiques
Autor/es de la URV: Estrada Moreno, Alejandro / Rodríguez Velázquez, Juan Alberto
Palabras clave: Sierpiński graphs Generalized sierpiński graphs Distances in graphs
Resumen: 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.
Áreas temáticas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Engenharias iii Discrete mathematics and combinatorics Ciência da computação Applied mathematics Analysis
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: alejandro.estrada@urv.cat juanalberto.rodriguez@urv.cat
Identificador del autor: 0000-0001-9767-2177 0000-0002-9082-7647
Fecha de alta del registro: 2024-09-07
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Applicable Analysis And Discrete Mathematics. 12 (1): 49-69
Referencia de l'ítem segons les normes 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
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2018
Tipo de publicación: Journal Publications
Repositori URV