The clustering coefficient C of a network, which is a measure of direct connectivity between neighbors of the various nodes, ranges from 0 (for no connectivity) to 1 (for full connectivity). We define extended clustering coefficients C ( h ) of a small-world network based on nodes that ...
These results are used to present a lower and an upper bounds for the clustering coefficient and the diameter of the given edge number expectation generalized small-world network, respectively. In other words, we prove mathematically that the given edge number expectation generalized small-world ...
Small-World Networks
In epidemiology, a robust network allows a disease to spread similarly even if the network is perturbed. Compute the global clustering coefficient of a random graph. In[1]:= Out[1]= In[2]:= Out[2]= Compute the global clustering coefficients of a set of random graphs....
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)
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 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 ...
The characteristic path length L is a global property whereas the clustering coefficient C is a local property of the network [5]. Generally, there are two kinds of networks, the regular and the random networks. Definition 3 The regular network consists of N vertices arranged regularly on a ...
the neighbors of an individual node in the network44. We illustrate this behavior in Fig.3a, where we plot the average clustering coefficientC_L(p), which increases withpfor the values ofLexplored in this work. The curves are normalized relative to the maximum average clustering coefficient ...
The resultant network architecture common to these methods is a multi-star network, which yields a large clustering coefficient and the shortest average path-length among the conventional complex networks such as a Watts-Strogatz model and a Barab谩si-Albert model etc., from both a theoretical ...