networkx.generators.random_graphs.barabasi_albert_graph

barabasi_albert_graph(n, m, seed=None)

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.

Returns

G

Return type

Graph

Raises

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.