On topological properties of the octahedral Koch network

Renxia Chen, Xinchu Fu and Qingchu Wu

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 880-886

Abstract: In this article, we propose an octahedral Koch network exhibiting abundant new properties compared to the triangular Koch network. Analytical expressions for the degree distribution, clustering coefficient, and average path length are presented. The scale-free feature and small-world property of the octahedral Koch network are obtained via numerical analysis. Furthermore, we show that the octahedral Koch network is assortative. Finally, we show that the projection of the octahedral Koch network on the plane is the nearest neighbor coupled Koch network, and the critical exponents of degree distribution in the octahedral Koch network is greater than three.

Keywords: Degree distribution; Koch network; Average path length; Degree correlation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:880-886

DOI: 10.1016/j.physa.2011.08.052

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