random_degree_sequence_graph¶

random_degree_sequence_graph(sequence, seed=None, tries=10)[source]¶

Return a simple random graph with the given degree sequence.

If the maximum degree \(d_m\) in the sequence is \(O(m^{1/4})\) then the algorithm produces almost uniform random graphs in \(O(m d_m)\) time where \(m\) is the number of edges.

Parameters:	sequence (list of integers) – Sequence of degrees seed (hashable object, optional) – Seed for random number generator tries (int, optional) – Maximum number of tries to create a graph
Returns:	G – A graph with the specified degree sequence. Nodes are labeled starting at 0 with an index corresponding to the position in the sequence.
Return type:	Graph
Raises:	`NetworkXUnfeasible` – If the degree sequence is not graphical. `NetworkXError` – If a graph is not produced in specified number of tries

See also

is_valid_degree_sequence(), configuration_model()

Notes

The generator algorithm [1] is not guaranteed to produce a graph.

References

[1]	Moshen Bayati, Jeong Han Kim, and Amin Saberi, A sequential algorithm for generating random graphs. Algorithmica, Volume 58, Number 4, 860-910, DOI: 10.1007/s00453-009-9340-1

Examples

>>> sequence = [1, 2, 2, 3]
>>> G = nx.random_degree_sequence_graph(sequence)
>>> sorted(G.degree().values())
[1, 2, 2, 3]