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Note

This documents the development version of NetworkX. Documentation for the current release can be found here.

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networkx.algorithms.cuts.mixing_expansion

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

Returns the mixing expansion between two node sets.

The mixing expansion is the quotient of the cut size and twice the number of edges in the graph. [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 mixing expansion between the two sets S and T.

Return type

number

See also

boundary_expansion(), edge_expansion(), node_expansion()

References

1

Vadhan, Salil P. “Pseudorandomness.” Foundations and Trends in Theoretical Computer Science 7.1–3 (2011): 1–336. <https://doi.org/10.1561/0400000010>