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random_powerlaw_tree(n, gamma=3, seed=None, tries=100)

Notes

A trial power law degree sequence is chosen and then elements are swapped with new elements from a powerlaw distribution until the sequence makes a tree (by checking, for example, that the number of edges is one smaller than the number of nodes).

Parameters

n : int

The number of nodes.

gamma : float

Exponent of the power law.

seed : integer, random_state, or None (default)

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

tries : int

Number of attempts to adjust the sequence to make it a tree.

Raises

NetworkXError

If no valid sequence is found within the maximum number of attempts.

Returns a tree with a power law degree distribution.

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/generators/random_graphs.py#1144
type: <class 'function'>
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