graphscope.nx.generators.small.tutte_graph

graphscope.nx.generators.small.tutte_graph(create_using=None)

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

[1]

https://en.wikipedia.org/wiki/Tutte_graph