A.Salman, S., Rashid Shabeeb, N. (2015). The Maximal Number of Vertices of The Reflexive Polytope. , 33(4B), 733-744. doi: 10.30684/etj.33.4B.16
Shatha A.Salman; Noor Rashid Shabeeb. "The Maximal Number of Vertices of The Reflexive Polytope". , 33, 4B, 2015, 733-744. doi: 10.30684/etj.33.4B.16
A.Salman, S., Rashid Shabeeb, N. (2015). 'The Maximal Number of Vertices of The Reflexive Polytope', , 33(4B), pp. 733-744. doi: 10.30684/etj.33.4B.16
A.Salman, S., Rashid Shabeeb, N. The Maximal Number of Vertices of The Reflexive Polytope. , 2015; 33(4B): 733-744. doi: 10.30684/etj.33.4B.16

The Maximal Number of Vertices of The Reflexive Polytope

Engineering and Technology Journal
Article 1, Volume 33, 4B, 2015, Pages 733-744    PDF (329.24 K)
DOI: 10.30684/etj.33.4B.16
Authors
Shatha A.Salman; Noor Rashid Shabeeb
Abstract
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.
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