mixing_expansion

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

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:

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 mixing expansion between the two sets S and T.

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>

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Additional backends implement this function

graphblas : OpenMP-enabled sparse linear algebra backend.