networkx.algorithms.cluster.triangles¶

triangles(G, nodes=None)[source]¶

Compute the number of triangles.

Finds the number of triangles that include a node as one vertex.

Parameters

G (graph) – A networkx graph
nodes (container of nodes, optional (default= all nodes in G)) – Compute triangles for nodes in this container.

Returns

out – Number of triangles keyed by node label.

Return type

dictionary

Examples

>>> G = nx.complete_graph(5)
>>> print(nx.triangles(G, 0))
6
>>> print(nx.triangles(G))
{0: 6, 1: 6, 2: 6, 3: 6, 4: 6}
>>> print(list(nx.triangles(G, (0, 1)).values()))
[6, 6]

Notes

When computing triangles for the entire graph each triangle is counted three times, once at each node. Self loops are ignored.