In other words, we prove mathematically that the given edge number expectation generalized small-world network possesses large clustering coefficient and small diameter.doi:CNKI:SUN:ACMS.0.2013-01-017Acta Mathematica SinicaGu, L., H.L. Huang, and X.D. Zhang. 2013. "The Clustering Coefficient ...
Small-World Networks
plt.title('Small-World Network') plt.show() # 分析图的性质 average_shortest_path = nx.average_shortest_path_length(graph) print("Average Shortest Path Length: ", average_shortest_path) average_clustering = nx.average_clustering(graph) print("Average Clustering Coefficient: ", average_clustering...
1998年Watts和Strogatz提出了基于人类社会网络的网络模型，比较合理地反映了既不完全规则也不完全随机的网络的统计特性，它通过调节一个参数可以从规则网络向随机网络过渡，这就是小世界网络模(SmallWorldNetwork,简称SWN)模型。SmallWorld简介 规则网络和随机网络 规则网络是遵循一定规则建立起来的网络，网络之间任意两点的...
The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks. Models of dynamical systems with small-world coupling display enhanced signal-propagation speed, computational power, ...
The graph has the structural properties L(p) which describes path length and C(p) which describes the clustering coefficient. When p = 0 the value of L grows linearly with n and is well clustered (high L(p) and high C(p)) to form a large-world network. When p = 1 the random ...
The small average path length and the high clustering coefficient indicate that the temporal network is small-world17. To investigate this hypothesis, we also present in Fig. 2 the small-word index ω18. The idea behind this index is to compare the observed networks to the original ...
Network analysis The topological characteristics of the networks, such as the adjacency matrix, containing the information about the connectivity among node pairs in the network, the mean clustering coefficient, and the characteristic path length of the networks, were determined using the methods reported...
In the study of complex system dynamics it is fundamental defining the network topology and the connection distribution inside the networks. In the simulations carried out it has been used a ring configuration constituted by 100 fuzzy oscillator with chaotic characteristics and random initial condition....
1) small world network “小世界”网络 1. The“Small World”phenomena exit universally in nature and human society, and thesmall world networkpresents some special statistical characters. “小世界”现象普遍存在于自然界和人类社会,同时在统计意义上,“小世界”网络呈现出一些独特的数值特征。