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clique_removal(G)

Results in a $O(

<SubstitutionRef: 
   |value: '|V|'
   |>
/(\log
<SubstitutionRef: 
   |value: '|V|'
   |>
)^2)$ approximation of maximum clique and independent set. Returns the largest independent set found, along with found maximal cliques.

Parameters

G : NetworkX graph

Undirected graph

Raises

NetworkXNotImplemented

If the graph is directed or is a multigraph.

Returns

max_ind_cliques : (set, list) tuple

2-tuple of Maximal Independent Set and list of maximal cliques (sets).

Repeatedly remove cliques from the graph.

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/approximation/clique.py#119
type: <class 'function'>
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