networkx.algorithms.cuts.node_expansion¶

node_expansion(G, S)[source]¶

Returns the node expansion of the set S.

The node expansion is the quotient of the size of the node boundary of S and the cardinality of S. [1]

Parameters

G (NetworkX graph)
S (sequence) – A sequence of nodes in G.

Returns

The node expansion of the set S.

Return type

number

See also

boundary_expansion(), edge_expansion(), mixing_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>