random_powerlaw_tree_sequence

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

Returns a degree sequence for a tree with a power law distribution.

Parameters:

nint,

The number of nodes.

gammafloat

Exponent of the power law.

seedinteger, random_state, or None (default)

Indicator of random number generation state. See Randomness.

triesint

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).