random_powerlaw_tree_sequence¶

random_powerlaw_tree_sequence(n, gamma=3, seed=None, tries=100)[source]¶

Returns a degree sequence for a tree with a power law 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 power law distribution until the sequence makes a tree (by checking, for example, that the number of edges is one smaller than the number of nodes).