networkx.generators.random_powerlaw_tree¶

networkx.generators.random_powerlaw_tree(n, gamma=3, seed=None, tries=100)[source]¶

Returns a tree with a power law degree distribution.

Parameters:	n : int The number of nodes. gamma : float Exponent of the power law. seed : int, optional Seed for random number generator (default=None). 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.

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).