Geodesic
Strongly involutive self-dual polyhedra
Ars Mathematica Contemporanea, Tome 20 (2021) no. 1, pp. 143-149.

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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 Vázsonyi problem.
DOI : 10.26493/1855-3974.2194.eab
Keywords: Polyhedra, graphs, duality, self-dual, antipodal 
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Javier Bracho; Luis Montejano; Eric Pauli Pérez; Jorge Luis Ramírez Alfonsín. Strongly involutive self-dual polyhedra. Ars Mathematica Contemporanea, Tome 20 (2021) no. 1, pp. 143-149. doi : 10.26493/1855-3974.2194.eab. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2194.eab/

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