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The Facial Common Neighbourhood Graph

math.CO · 2026-05-15 · unverdicted · novelty 6.0

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.

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  • The Facial Common Neighbourhood Graph math.CO · 2026-05-15 · unverdicted · none · ref 1

    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.