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# networkx.generators.random_graphs.barabasi_albert_graph¶

barabasi_albert_graph(n, m, seed=None)[source]

Returns a random graph according to the Barabási–Albert preferential attachment model.

A graph of $$n$$ nodes is grown by attaching new nodes each with $$m$$ edges that are preferentially attached to existing nodes with high degree.

Parameters: n (int) – Number of nodes m (int) – Number of edges to attach from a new node to existing nodes seed (integer, random_state, or None (default)) – Indicator of random number generation state. See Randomness. G Graph NetworkXError – If m does not satisfy 1 <= m < n.

References

 [1] A. L. Barabási and R. Albert “Emergence of scaling in random networks”, Science 286, pp 509-512, 1999.