Abstract
Generalized Farey tree network (GFTN) model with small-world is proposed, and the topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Analytical results show that the degree distribution of the GFTN is exponential. As the number of network nodes increasing with time interval (or level number), t, the clustering coefficient of the networks tends to a constant, ln2; the diameter of the network is increasing with t, the resulting networks are evolved from disassortative to assortative and show assortative coefficient tends to 0.25 for large t.
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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Fang, JQ., Li, Y. (2009). Generalized Farey Tree Network with Small-World. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_46
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DOI: https://doi.org/10.1007/978-3-642-02469-6_46
Publisher Name: Springer, Berlin, Heidelberg
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