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k_core(G, k=None, core_number=None)

A k-core is a maximal subgraph that contains nodes of degree k or more.

Notes

The main core is the core with the largest degree.

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.

Parameters

G : NetworkX graph

A graph or directed graph

k : int, optional

The order of the core. If not specified return the main core.

core_number : dictionary, optional

Precomputed core numbers for the graph G.

Raises

NetworkXError

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

Returns

G : NetworkX graph

The k-core subgraph

Returns the k-core of G.

See Also

core_number

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /networkx/algorithms/core.py#157
type: <class 'function'>
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