Open Access
2013 A New Class of the Planar Networks with High Clustering and High Entropy
Guona Hu, Yuzhi Xiao, Huanshen Jia, Haixing Zhao
Abstr. Appl. Anal. 2013(SI19): 1-5 (2013). DOI: 10.1155/2013/795682


Small-world networks are ubiquitous in real-life systems, such as the World Wide Web, communication networks, and electric power grids, and most of them are stochastic. In this paper, we present a model that generates a small-world network in a simple deterministic way and analyze the relevant topological properties of the model, such as the degree distribution, clustering coefficient, and diameter. Meanwhile, according to the special structure of the model, we derive analytically the exact numbers of spanning trees in the planar networks. The results show that the model has a discrete exponential degree distribution, high clustering coefficient, short diameter, and high entropy.


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Guona Hu. Yuzhi Xiao. Huanshen Jia. Haixing Zhao. "A New Class of the Planar Networks with High Clustering and High Entropy." Abstr. Appl. Anal. 2013 (SI19) 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095364
MathSciNet: MR3139452
Digital Object Identifier: 10.1155/2013/795682

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI19 • 2013
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