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Prodsimplicial-neighborly polytopes

Autor
Matschke, B.; Pfeifle, J.; Pilaud, V.
Tipus d'activitat
Article en revista
Revista
Discrete and computational geometry
Data de publicació
2010-11
Volum
46
Número
1
Pàgina inicial
131
Pàgina final
100-
DOI
https://doi.org/10.1007/s00454-010-9311-y Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/10458 Obrir en finestra nova
Resum
We introduce PSN polytopes whose k-skeleton is combinatorially equivalent to that of a product of r simplices. They simultaneously generalize both neighborly and neighborly cubical polytopes. We construct PSN polytopes by three different methods, the most versatile of which is an extension of Sanyal & Ziegler’s “projecting deformed products” construction to products of arbitrary simple polytopes. For general r and k, the lowest dimension we achieve is 2k+r+1. Using topological obstructions...
Citació
Matschke, B.; Pfeifle, J.; Pilaud, V. Prodsimplicial-neighborly polytopes. "Discrete and computational geometry", Novembre 2010, vol. Online first.
Grup de recerca
MD - Matemàtica Discreta

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