Strongly involutive self-dual polyhedra
Por:
Bracho J., Montejano L., Pérez E.P., Alfonsín J.L.R.
Publicada:
1 ene 2021
Resumen:
A polyhedron is a graph 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 in 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. © 2021 Society of Mathematicians, Physicists and Astronomers of Slovenia. All rights reserved.
Filiaciones:
Bracho J.:
Instituto de Matemáticas, UNAM, Mexico
Montejano L.:
Instituto de Matemáticas, UNAM-Campus Juriquilla, Mexico
Pérez E.P.:
Instituto de Matemáticas, UNAM-Campus Juriquilla and IMAG, Univ. Montpellier, CNRS, Montpellier, France
Alfonsín J.L.R.:
UMI2924 - Jean-Christophe Yoccoz, CNRS-IMPA and IMAG, Univ. Montpellier, CNRS, Montpellier, France
Green Submitted, All Open Access, Bronze
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