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Exploring Geometric Duals of Planar Graphs

There might absolutely be results answering these questions, but I'm not sure. Reading about graph theory, I learned that different planar isomorphic graphs can have non isomorphic geometric duals.

This got me wondering what can we say about the possible geometric duals generated by different isomorphisms of a given graph.

How many graphs unique under isomorphism can be made? What else do we know about the geometric duals of a given simple planar graph?

Posted in: s/Math

🦉 satya [mod]

Oct 20 · 8 weeks ago