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Regular Small-World Network

Zou Zhi-Yun1,2, Mao Bao-Hua2, Hao Hai-Ming1, Gao Jian-Zhi1 and Yang Jie-Jiao1

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GENERAL

According to the deficiencies in Watts and Strogatz's small-world network model, we present a new regular model to establish the small-world network. Besides the property of the small-world, this model has other properties such as accuracy in controlling the average shortest path length L, and the average clustering coefficient C, also regular network topology as well as enhanced network robustness. This method improves the construction of the small-world network essentially, so that the regular small-world network closely resembles the actual network. We also present studies on the relationships among the quantities of a variety of edges, L and C in regular small-world network in detail. This research lays the foundation for the establishment of the regular small-world network and acts as a good guidance for further research of this model and its applications.


PACS

89.75.Hc Networks and genealogical trees

Subjects

Statistical physics and nonlinear systems

Dates

Issue 11 (November 2009)

Received 25 February 2009



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