Published February 24, 2006
| Version v1
Journal article
High-dimensional Apollonian networks
- 1. Institute of Systems Engineering, Dalian University of Technology, Dalian 116024, Liaoning (China)
- 2. Dep. de Matematica Aplicada IV, EPSC, Universitat Politecnica de Catalunya Av. Canal OlImpic s/n, 08860 Castelldefels, Barcelona, Catalonia (Spain)
- 3. LINA, Universite de Nantes, 2 rue de la Houssiniere, BP 92208, 44322 Nantes Cedex 3 (France)
Description
We propose a simple algorithm which produces high-dimensional Apollonian networks with both small-world and scale-free characteristics. We derive analytical expressions for the degree distribution, the clustering coefficient and the diameter of the networks, which are determined by their dimension
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/1811/a6_8_003.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/1811/a6_8_003.pdf;
- DOI
- 10.1088/0305-4470/39/8/003;
- PII
- S0305-4470(06)11822-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 8
- Journal Page Range
- p. 1811-1818
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051384
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; ANALYTIC FUNCTIONS; DISTRIBUTION; MANY-DIMENSIONAL CALCULATIONS; NETWORK ANALYSIS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL LOGIC