On the limiting distribution of the metric dimension for random forests

The metric dimension of a graph G is the minimum size of a subset S of vertices of G such that all other vertices are uniquely determined by their distances to the vertices in S. In this paper we investigate the metric dimension for two different models of random forests, in each case obtaining norm...

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Detalles Bibliográficos
Autores: Rué Perna, Juan José|||0000-0002-6420-3179, Mitsche, Dieter
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/85108
Acceso en línea:https://hdl.handle.net/2117/85108
Access Level:acceso abierto
Palabra clave:Random graphs
random graphs
metric dimension
random trees
analytic combinatorics
Grafs, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:The metric dimension of a graph G is the minimum size of a subset S of vertices of G such that all other vertices are uniquely determined by their distances to the vertices in S. In this paper we investigate the metric dimension for two different models of random forests, in each case obtaining normal limit distributions for this parameter.