Open AccessJournal Article
Convex Lattice Polygons.
TL;DR: A lattice is a (rectangular) grid of points, usually pictured as occurring at the intersections of two orthogonal sets of parallel, equally spaced lines as mentioned in this paper, where the concept of Lattice theory and the area measurement is explained
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Abstract: A lattice is a (rectangular) grid of points, usually pictured as occurring at the intersections of two orthogonal sets of parallel, equally spaced lines The concept of Lattice theory and the area measurement is explained
read more
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The Fascination of the Elementary
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Stetige und diskrete Funktionale konvexer Körper
Ulrich Betke,Jörg M. Wills +1 more
- 01 Jan 1979
TL;DR: In this article, the authors present an analogie zur Theorie der konvexen Korper, where u.a. Eigenschaften stetiger Funktionale (z.b.B. Satz von Brunn-Minkowski) oder Beziehungen stetigen Funktionalen zueinander are untersucht werden.
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A proof of Coleman's conjecture
TL;DR: This note gives a proof of the conjecture that for any convex lattice polygon with v vertices, g (g>=1) interior lattice points and b boundary lattICE points the authors have b=<2g-v+10, and aims to describe all conveX lattice polygons for which the bound b=2 g- v+10 is attained.
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Universal inequalities in Ehrhart theory
TL;DR: In this article, the existence of universal inequalities for the h*-vector of a lattice polytope P, that is, there are relations among the coefficients of the H*-polynomial that are independent of both the dimension and the degree of P, was shown.
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