High-dimensional random Apollonian networks

Zhongzhi Zhang, Lili Rong and Francesc Comellas

Physica A: Statistical Mechanics and its Applications, 2006, vol. 364, issue C, 610-618

Abstract: We propose a simple algorithm which produces a new category of networks, high-dimensional random Apollonian networks, with small-world and scale-free characteristics. We derive analytical expressions for their degree distributions and clustering coefficients which are determined by the dimension of the network. The values obtained for these parameters are in good agreement with simulation results and comparable to those coming from real networks. We estimate also analytically that the average path length of the networks increases at most logarithmically with the number of vertices.

Keywords: Complex networks; Scale-free networks; Small-world networks; Disordered systems; Networks (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:364:y:2006:i:c:p:610-618

DOI: 10.1016/j.physa.2005.09.042

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