| Títol: | Kalai's squeezed 3-spheres are polytopal |
| Autor: | Pfeifle, Julián |
| Altres autors/autores: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
| Matèries: | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria
Polytopes
Hamiltonian graph theory
Combinatory logic
Convex geometry
Politops
Lògica combinatòria
Geometria convexa
Hamilton, Sistemes de |
| Tipus de document: | Article |
| Descripció: | In 1988, Kalai [5] extended a construction of Billera and Lee to produce many triangulated(d−1)-spheres. In fact, in view of upper bounds on the number of simplicial d-polytopes by Goodman and Pollack [2, 3], he derived that for every dimension d ≥ 5, most of these(d − 1)-spheres are not polytopal. However, for d = 4, this reasoning fails. We can now show that, as already conjectured by Kalai, all of his 3-spheres are in fact polytopal.
We also give a shorter proof for Hebble and Lee’s result [4] that the dual graphs of these 4-polytopes are Hamiltonian. |
| Altres identificadors i accés: | Pfeifle, J. Kalai's squeezed 3-spheres are polytopal. "Discrete and computational geometry", 2002, vol. 27, p. 395-407.
0179-5376
http://hdl.handle.net/2117/7735 |
| Disponible al dipòsit: | E-prints UPC
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