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Journal of Physics A: Mathematical and Theoretical 41, 3 (2008) 035004
Vertex labeling and routing in expanded Apollonian networks
Zhongzhi Zhang 1, Francesc Comellas 2, Guillaume Fertin 3, André Raspaud 4, Lili Rong 5, Shuigeng Zhou 1
(2008)

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.
1:  Department of Computer Science and Engineering and Shanghai Key Lab of Intelligent Information Processing
Fudan University
2:  Dep. de Matem`atica Aplicada IV, EPSC
Universitat Politécnica de Catalunya
3:  Laboratoire d'Informatique de Nantes Atlantique (LINA)
CNRS : UMR6241 – Université de Nantes – École Nationale Supérieure des Mines - Nantes
4:  Laboratoire Bordelais de Recherche en Informatique (LaBRI)
CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II
5:  Institute of Systems Engineering
Dalian University of Technology
Computer Science/Discrete Mathematics
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