petersen_graph#

petersen_graph(create_using=None)[source]#

Returns the Petersen graph.

The Peterson graph is a cubic, undirected graph with 10 nodes and 15 edges [1]. Julius Petersen constructed the graph as the smallest counterexample against the claim that a connected bridgeless cubic graph has an edge colouring with three colours [2].

Parameters:
create_usingNetworkX graph constructor, optional (default=nx.Graph)

Graph type to create. If graph instance, then cleared before populated.

Returns:
Gnetworkx Graph

Petersen graph

References