Zhang, Zhongzhi; Comellas, Francesc; Fertin, Guillaume; Rong, Lili High-dimensional Apollonian networks. (English) Zbl 1086.68017 J. Phys. A, Math. Gen. 39, No. 8, 1811-1818 (2006). Summary: 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. Cited in 1 ReviewCited in 13 Documents MSC: 68M10 Network design and communication in computer systems 94A05 Communication theory Keywords:Apollonian packing; diameter of networks; small-world characteristics; scale-free characters PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Phys. A, Math. Gen. 39, No. 8, 1811--1818 (2006; Zbl 1086.68017) Full Text: DOI arXiv