# networkx.algorithms.cuts.normalized_cut_size¶

normalized_cut_size(G, S, T=None, weight=None)[source]

Returns the normalized size of the cut between two sets of nodes.

The normalized cut size is the cut size times the sum of the reciprocal sizes of the volumes of the two sets. [1]

Parameters
• G (NetworkX graph)

• S (sequence) – A sequence of nodes in G.

• T (sequence) – A sequence of nodes in G.

• weight (object) – Edge attribute key to use as weight. If not specified, edges have weight one.

Returns

The normalized cut size between the two sets S and T.

Return type

number

Notes

In a multigraph, the cut size is the total weight of edges including multiplicity.

References

1

David Gleich. Hierarchical Directed Spectral Graph Partitioning. <https://www.cs.purdue.edu/homes/dgleich/publications/Gleich%202005%20-%20hierarchical%20directed%20spectral.pdf>