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# random_powerlaw_tree¶

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. 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).