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frucht_graph(create_using=None)

The Frucht Graph is the smallest cubical graph whose automorphism group consists only of the identity element . It has 12 nodes and 18 edges and no nontrivial symmetries. It is planar and Hamiltonian .

Parameters

create_using : NetworkX graph constructor, optional (default=nx.Graph)

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

Returns

G : networkx Graph

Frucht Graph with 12 nodes and 18 edges

Returns the Frucht Graph.

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /networkx/generators/small.py#444
type: <class 'function'>
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