dorogovtsev_goltsev_mendes_graph#

dorogovtsev_goltsev_mendes_graph(n, create_using=None)[source]#

Returns the hierarchically constructed Dorogovtsev-Goltsev-Mendes graph.

The Dorogovtsev-Goltsev-Mendes [1] procedure produces a scale-free graph deterministically with the following properties for a given n: - Total number of nodes = 3 * (3**n + 1) / 2 - Total number of edges = 3 ** (n + 1)

Parameters:

ninteger: The generation number.
create_usingNetworkX Graph, optional: Graph type to be returned. Directed graphs and multi graphs are not supported.

Returns:

GNetworkX Graph

References

[1]

S. N. Dorogovtsev, A. V. Goltsev and J. F. F. Mendes, “Pseudofractal scale-free web”, Physical Review E 65, 066122, 2002. https://arxiv.org/pdf/cond-mat/0112143.pdf

Examples

>>> G = nx.dorogovtsev_goltsev_mendes_graph(3)
>>> G.number_of_nodes()
15
>>> G.number_of_edges()
27
>>> nx.is_planar(G)
True