Warning

This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

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 (int, optional) – Seed for random number generator (default=None).

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.