barabasi_albert_graph

barabasi_albert_graph(n, m, seed=None, initial_graph=None, *, create_using=None)

Returns a random graph using Barabási–Albert preferential attachment

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:

nint

Number of nodes

mint

Number of edges to attach from a new node to existing nodes

seedinteger, random_state, or None (default)

Indicator of random number generation state. See Randomness.

initial_graphGraph or None (default)

Initial network for Barabási–Albert algorithm. It should be a connected graph for most use cases. A copy of initial_graph is used. If None, starts from a star graph on (m+1) nodes.

create_usingGraph constructor, optional (default=nx.Graph)

Graph type to create. If graph instance, then cleared before populated. Multigraph and directed types are not supported and raise a NetworkXError.

Returns:

GGraph

Raises:

NetworkXError

If m does not satisfy 1 <= m < n, or the initial graph number of nodes m0 does not satisfy m <= m0 <= n.

References

[1]

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