Mapping Koch curves into scale-free small-world networks
Mapping Koch curves into scale-free small-world networks
复制标题
将科赫曲线映射到无标度小世界网络
DOI：
10.1088/1751-8113/43/39/395101
复制
发表时间：
2010-10-01
影响因子：
2.1
通讯作者：
Guan, Jihong
中科院分区：
文献类型：
--
作者：
Zhang, Zhongzhi;Gao, Shuyang;Guan, Jihong
The class of Koch fractals is one of the most interesting families of fractals, and the study of complex networks is a central issue in the scientific community. In this paper, inspired by the famous Koch fractals, we propose a mapping technique converting Koch fractals into a family of deterministic networks called Koch networks. This novel class of networks incorporates some key properties characterizing a majority of real-life networked systems—a power-law distribution with exponent in the range between 2 and 3, a high clustering coefficient, a small diameter and average path length and degree correlations. Besides, we enumerate the exact numbers of spanning trees, spanning forests and connected spanning subgraphs in the networks. All these features are obtained exactly according to the proposed generation algorithm of the networks considered. The network representation approach could be used to investigate the complexity of some real-world systems from the perspective of complex networks.
