Vertex labeling and routing in expanded Apollonian networks

We present a family of networks, expanded deterministic Apollonian networks, which are a generalization of the Apollonian networks and are simultaneously scale-free, small-world, and highly clustered. We introduce a labeling of their nodes that allows one to determine a shortest path routing between...

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Detalles Bibliográficos
Autores: Zhang, Zhongzhi, Comellas Padró, Francesc de Paula|||0000-0003-4523-0240, Fertin, Guillaume, Raspaud, André, Rong, Lili, Zhou, Shuigeng
Tipo de recurso: artículo
Fecha de publicación:2007
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:2117/1405
Acceso en línea:https://hdl.handle.net/2117/1405
Access Level:acceso abierto
Palabra clave:Graph theory
labels
grafs
xarxes
grafs Apol.lonis
enrutament
etiquetatge
Teoria de grafs
etiquetes
Classificació AMS::05 Combinatorics::05C Graph theory
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:We present a family of networks, expanded deterministic Apollonian networks, which are a generalization of the Apollonian networks and are simultaneously scale-free, small-world, and highly clustered. We introduce a labeling of their nodes that allows one to determine a shortest path routing between any two nodes of the network based only on the labels.