chvatal_graph#

chvatal_graph(create_using=None)[source]#

Returns the Chv√°tal Graph

The Chv√°tal Graph is an undirected graph with 12 nodes and 24 edges [1]. It has 370 distinct (directed) Hamiltonian cycles, giving a unique generalized LCF notation of order 4, two of order 6 , and 43 of order 1 [2].

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

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

Returns:
Gnetworkx Graph

The Chv√°tal graph with 12 nodes and 24 edges

References