# networkx.generators.community.planted_partition_graph¶

planted_partition_graph(l, k, p_in, p_out, seed=None, directed=False)[source]

Returns the planted l-partition graph.

This model partitions a graph with n=l*k vertices in l groups with k vertices each. Vertices of the same group are linked with a probability p_in, and vertices of different groups are linked with probability p_out.

Parameters
• l (int) – Number of groups

• k (int) – Number of vertices in each group

• p_in (float) – probability of connecting vertices within a group

• p_out (float) – probability of connected vertices between groups

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

• directed (bool,optional (default=False)) – If True return a directed graph

Returns

G – planted l-partition graph

Return type

NetworkX Graph or DiGraph

Raises

NetworkXError – If p_in,p_out are not in [0,1] or

Examples

>>> G = nx.planted_partition_graph(4, 3, 0.5, 0.1, seed=42)


random_partition_model()