networkx.generators.duplication.duplication_divergence_graph¶

duplication_divergence_graph
(n, p, seed=None)[source]¶ Returns an undirected graph using the duplicationdivergence model.
A graph of
n
nodes is created by duplicating the initial nodes and retaining edges incident to the original nodes with a retention probabilityp
.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: Raises: NetworkXError
– Ifp
is not a valid probability. Ifn
is less than 2.Notes
This algorithm appears in [1].
This implementation disallows the possibility of generating disconnected graphs.
References
[1] I. Ispolatov, P. L. Krapivsky, A. Yuryev, “Duplicationdivergence model of protein interaction network”, Phys. Rev. E, 71, 061911, 2005.