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k_corona(G, k, core_number=None)[source]

Return the k-corona of G.

The k-corona is the subgraph of nodes in the k-core which have exactly k neighbours in the k-core.

Parameters :

G : NetworkX graph

A graph or directed graph

k : int

The order of the corona.

core_number : dictionary, optional

Precomputed core numbers for the graph G.

Returns :

G : NetworkX graph

The k-corona subgraph

Raises :


The k-cornoa is not defined for graphs with self loops or parallel edges.

See also



Not implemented for graphs with parallel edges or self loops.

For directed graphs the node degree is defined to be the in-degree + out-degree.

Graph, node, and edge attributes are copied to the subgraph.


[R227]k -core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects, A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 73, 056101 (2006) http://link.aps.org/doi/10.1103/PhysRevE.73.056101