The Maximal Number of Vertices of The Reflexive Polytope

In this work the basic concept of reflexive polytopeand Gorensteinpolytope and Fano with some theorems about them are given. Three standard binary operations on polytopeswhich are: the cartesian product (×), the direct sum (⊕) and the free join(⋈) are examined. Finally techniques are used to prove t...

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Veröffentlicht in:Engineering and Technology Journal 2015-04, Vol.33 (4B), p.733-744
Hauptverfasser: A.Salman, Shatha, Rashid Shabeeb, Noor
Format: Artikel
Sprache:eng
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Zusammenfassung:In this work the basic concept of reflexive polytopeand Gorensteinpolytope and Fano with some theorems about them are given. Three standard binary operations on polytopeswhich are: the cartesian product (×), the direct sum (⊕) and the free join(⋈) are examined. Finally techniques are used to prove the conjecture |V(P)|≤6^(d/2) of the maximal number of vertices for a simplicialreflexive polytopes of even dimension.
ISSN:2412-0758
1681-6900
2412-0758
DOI:10.30684/etj.33.4B.16