| Autor: |
Bracho, Javier, Montejano, Luis, Pauli, Eric, Alfonsin, Jorge Luis Ramirez |
| Rok vydání: |
2020 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
A polyhedron is a graph $G$ which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a well-known result due to Tutte characterizing 3-connected graphs. We also show that this special class of polyhedra self-duality behaves topologically as the antipodal mapping. These self-dual polyhedra are related with several problems in convex and discrete geometry including the V\'azsonyi problem. |
| Databáze: |
arXiv |
| Externí odkaz: |
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