tutte_graph#
- tutte_graph(create_using=None)[source]#
Returns the Tutte graph.
The Tutte graph is a cubic polyhedral, non-Hamiltonian graph. It has 46 nodes and 69 edges. It is a counterexample to Tait’s conjecture that every 3-regular polyhedron has a Hamiltonian cycle. It can be realized geometrically from a tetrahedron by multiply truncating three of its vertices [1].
- Parameters:
- create_usingNetworkX graph constructor, optional (default=nx.Graph)
Graph type to create. If graph instance, then cleared before populated.
- Returns:
- Gnetworkx Graph
Tutte graph
References