Almost simplicial polytopes: the lower and upper bound theorems

this is an extended abstract of the full version. We study n-vertex d-dimensional polytopes with at most one nonsimplex facet with, say, d + s vertices, called almost simplicial polytopes. We provide tight lower and upper bounds for the face numbers of these polytopes as functions of d, n and s, thu...

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Autors principals:	Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon, David Yost
Format:	Artigo
Idioma:	Inglês
Publicat:	Discrete Mathematics & Theoretical Computer Science 2020-04-01
Col·lecció:	Discrete Mathematics & Theoretical Computer Science
Matèries:	combinatorics [math.math-co]mathematics [math]/combinatorics [math.co]
Accés en línia:	https://dmtcs.episciences.org/6369/pdf
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