graphscope.nx.generators.duplication.duplication_divergence_graph

graphscope.nx.generators.duplication.duplication_divergence_graph(n, p, seed=None)[source]

Returns an undirected graph using the duplication-divergence model.

A graph of n nodes is created by duplicating the initial nodes and retaining edges incident to the original nodes with a retention probability p.

Parameters:

  • n (int) – The desired number of nodes in the graph.

  • p (float) – The probability for retaining the edge of the replicated node.

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

Returns:

G

Return type:

Graph

Raises:

NetworkXError – If p is not a valid probability. If n is less than 2.

Notes

This algorithm appears in [1].

This implementation disallows the possibility of generating disconnected graphs.

References