networkx.algorithms.cuts.volume¶
- volume(G, S, weight=None)[source]¶
Returns the volume of a set of nodes.
The volume of a set S is the sum of the (out-)degrees of nodes in S (taking into account parallel edges in multigraphs). [1]
- Parameters
G (NetworkX graph)
S (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 volume of the set of nodes represented by
S
in the graphG
.- Return type
number
See also
conductance
,cut_size
,edge_expansion
,edge_boundary
,normalized_cut_size
References
- 1
David Gleich. Hierarchical Directed Spectral Graph Partitioning. <https://www.cs.purdue.edu/homes/dgleich/publications/Gleich%202005%20-%20hierarchical%20directed%20spectral.pdf>