Introduces facecon(G) as a spanning subgraph of the common neighbourhood graph con(G) for polyhedra and proves planarity conditions plus extremal characterizations for both graphs.
Generation of simple quadrangulations of the sphere.Discrete Mathematics, 305(1-3):33–54, Dec
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The Facial Common Neighbourhood Graph
Introduces facecon(G) as a spanning subgraph of the common neighbourhood graph con(G) for polyhedra and proves planarity conditions plus extremal characterizations for both graphs.