coverage#

coverage(G, partition)[source]#

Returns the coverage of a partition.

Deprecated since version 2.6: Use partition_quality instead.

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:
GNetworkX graph
partitionsequence

Partition of the nodes of G, represented as a sequence of sets of nodes. Each block of the partition represents a community.

Returns:
float

The coverage of the partition, as defined above.

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>