ScaleFreeBADual

class brainpy.connect.ScaleFreeBADual(m1, m2, p, directed=False, seed=None, **kwargs)

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

A graph of :math::num_node nodes is grown by attaching new nodes each with either \(m_1\) edges (with probability \(p\)) or \(m_2\) edges (with probability \(1-p\)) that are preferentially attached to existing nodes with high degree.

Parameters:

• m1 (int) – Number of edges to attach from a new node to existing nodes with probability \(p\)

• m2 (int) – Number of edges to attach from a new node to existing nodes with probability \(1-p\)

• p (float) – The probability of attaching \(m\_1\) edges (as opposed to \(m\_2\) edges)

• seed (integer, random_state, or None (default)) – Indicator of random number generation state.

Raises:

ConnectorError – If m1 and m2 do not satisfy 1 <= m1,m2 < n or p does not satisfy 0 <= p <= 1.

References

[1]

14. Moshiri “The dual-Barabasi-Albert model”, arXiv:1810.10538.

build_mat(isOptimized=True)

Build a binary matrix connection data.

If users want to customize their connections, please provide one of the following functions:

• build_mat(): build a matrix binary connection matrix.

• build_csr(): build a csr sparse connection data.

• build_coo(): build a coo sparse connection data.

• build_conn(): deprecated.

Returns:

• conn (Array) – A binary matrix with the shape (num_pre, num_post).