partition_quality#
- partition_quality(G, partition)[source]#
Returns the coverage and performance of a partition of G.
The coverage of a partition is the ratio of the number of intra-community edges to the total number of edges in the graph.
The performance of a partition is the number of intra-community edges plus inter-community non-edges divided by the total number of potential edges.
This algorithm has complexity \(O(C^2 + L)\) where C is the number of communities and L is the number of links.
- Parameters:
- GNetworkX graph
- partitionsequence
Partition of the nodes of
G
, represented as a sequence of sets of nodes (blocks). Each block of the partition represents a community.
- Returns:
- (float, float)
The (coverage, performance) tuple of the partition, as defined above.
- Raises:
- NetworkXError
If
partition
is not a valid partition of the nodes ofG
.
Notes
- If
G
is a multigraph; for coverage, the multiplicity of edges is counted
for performance, the result is -1 (total number of possible edges is not defined)
References
[1]Santo Fortunato. â€śCommunity Detection in Graphsâ€ť. Physical Reports, Volume 486, Issue 3â€“5 pp. 75â€“174 <https://arxiv.org/abs/0906.0612>