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networkx.algorithms.cuts.edge_expansion

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

Returns the edge expansion between two node sets.

The edge expansion is the quotient of the cut size and the smaller of the cardinalities 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 edge expansion between the two sets S and T.

Return type

number

See also

boundary_expansion(), mixing_expansion(), node_expansion()

References

1

Fan Chung. Spectral Graph Theory. (CBMS Regional Conference Series in Mathematics, No. 92), American Mathematical Society, 1997, ISBN 0-8218-0315-8 <http://www.math.ucsd.edu/~fan/research/revised.html>