Simple, distance-dependent formulation of the Watts-Strogatz model for directed and undirected small-world networks.
Simple, distance-dependent formulation of the Watts-Strogatz model for directed and undirected small-world networks.
复制标题
用于有向和无向小世界网络的 Watts-Strogatz 模型的简单、距离相关的公式。
DOI：
10.1103/physreve.90.062801
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Wang,Xiao-Jing
中科院分区：
文献类型：
--
作者：
Song,HFrancis;Wang,Xiao-Jing
Small-world networks—complex networks characterized by a combination of high clustering and short path lengths—are widely studied using the paradigmatic model of Watts and Strogatz (WS). Although the WS model is already quite minimal and intuitive, we describe an alternative formulation of the WS model in terms of a distance-dependent probability of connection that further simplifies, both practically and theoretically, the generation of directed and undirected WS-type small-world networks. In addition to highlighting an essential feature of the WS model that has previously been overlooked, namely the equivalence to a simple distance-dependent model, this alternative formulation makes it possible to derive exact expressions for quantities such as the degree and motif distributions and global clustering coefficient for both directed and undirected networks in terms of model parameters.
