graphscope.nx.generators.small.tutte_graph#
- graphscope.nx.generators.small.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_using (NetworkX graph constructor, optional (default=nx.Graph)) – Graph type to create. If graph instance, then cleared before populated.
- Returns
G – Tutte graph
- Return type
networkx Graph
References