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
The clustering coefficient of a random graph is proportional to 1/N, where N is the number of nodes. A network is considered to be very clustered if its clustering coefficient is higher than that of a random graph with the same number of nodes and with the same average degree. Small-...
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 ...
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....
Small-World Networks
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 ...
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 ...
network is a square lattice with periodic boundary conditions. Aspincreases, we expect the increasing disorder to enhance the community structure between the neighbors of an individual node in the network44. We illustrate this behavior in Fig.3a, where we plot the average clustering coefficientCL(p...
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)
On the basis of the weighted small-world network, we made a study on the knowledge diffusion network of communities of practice, and proposed to use characteristic relationship length and clustering coefficient of community members to token knowledge diffusion frequency and centralization respectively, ...