conductance

conductance(G, S, T=None, weight=None)

Returns the conductance of two sets of nodes.

The conductance is the quotient of the cut size and the smaller of the volumes of the two sets. [1]

Parameters:

GNetworkX graph

Scollection

A collection of nodes in G.

Tcollection

A collection of nodes in G.

weightobject

Edge attribute key to use as weight. If not specified, edges have weight one.

Returns:

number

The conductance between the two sets S and T.

See also

cut_size

edge_expansion

normalized_cut_size

volume

References

[1]

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

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Additional backends implement this function

graphblas : OpenMP-enabled sparse linear algebra backend.