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Disc representation

Disc representation. Koebe (1936). Every planar graph can be represented by touching circles. Polyhedral version. Every 3-connected planar graph is the skeleton of a convex polytope such that every edge touches the unit sphere. Andre’ev. From polyhedra to circles. horizon.

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Disc representation

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  1. Disc representation Koebe (1936) Every planar graph can be represented by touching circles

  2. Polyhedral version Every 3-connected planar graph is the skeleton of a convex polytope such that every edge touches the unit sphere Andre’ev

  3. From polyhedra to circles horizon

  4. From polyhedra to representation of the dual

  5. disc representation disc representation graph dual horizon

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