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networkx.algorithms.community.quality.coverage

coverage(G, partition)[source]

Returns the coverage of a partition.

The coverage of a partition is the ratio of the number of intra-community edges to the total number of edges in the graph.

Parameters:
  • G (NetworkX graph)
  • partition (sequence) – Partition of the nodes of G, represented as a sequence of sets of nodes. Each block of the partition represents a community.
Returns:

The coverage of the partition, as defined above.
Return type:

float
Raises:

NetworkXError – If partition is not a valid partition of the nodes of G.

Notes

If G is a multigraph, the multiplicity of edges is counted.

References

[1]Santo Fortunato. “Community Detection in Graphs”. Physical Reports, Volume 486, Issue 3–5 pp. 75–174 <https://arxiv.org/abs/0906.0612>