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randomized_partitioning(G, seed=None, p=0.5, weight=None)

A partitioning is calculated by observing each node and deciding to add it to the partition with probability p, returning a random cut and its corresponding value (the sum of weights of edges connecting different partitions).

Parameters

G : NetworkX graph
seed : integer, random_state, or None (default)

Indicator of random number generation state. See Randomness<randomness> .

p : scalar

Probability for each node to be part of the first partition. Should be in [0,1]

weight : object

Edge attribute key to use as weight. If not specified, edges have weight one.

Returns

cut_size : scalar

Value of the minimum cut.

partition : pair of node sets

A partitioning of the nodes that defines a minimum cut.

Compute a random partitioning of the graph nodes and its cut value.

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/maxcut.py#7
type: <class 'function'>
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