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average_clustering

average_clustering(G, nodes=None, weight=None, count_zeros=True)

Compute the average clustering coefficient for the graph G.

The clustering coefficient for the graph is the average,

\[C = \frac{1}{n}\sum_{v \in G} c_v,\]

where \(n\) is the number of nodes in \(G\).

Parameters:

• G (graph) –
• nodes (container of nodes, optional (default=all nodes in G)) – Compute average clustering for nodes in this container.
• weight (string or None, optional (default=None)) – The edge attribute that holds the numerical value used as a weight. If None, then each edge has weight 1.
• count_zeros (bool) – If False include only the nodes with nonzero clustering in the average.

Returns:

avg – Average clustering

Return type:

float

Examples

>>> G=nx.complete_graph(5)
>>> print(nx.average_clustering(G))
1.0

Notes

This is a space saving routine; it might be faster to use the clustering function to get a list and then take the average.

Self loops are ignored.

References

[1]	Generalizations of the clustering coefficient to weighted complex networks by J. Saramäki, M. Kivelä, J.-P. Onnela, K. Kaski, and J. Kertész, Physical Review E, 75 027105 (2007). http://jponnela.com/web_documents/a9.pdf

[2]	Marcus Kaiser, Mean clustering coefficients: the role of isolated nodes and leafs on clustering measures for small-world networks. http://arxiv.org/abs/0802.2512