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. <http://dx.doi.org/10.1561/0400000010>