Convex lattice sets

2021 ◽  
pp. 131-135
Keyword(s):  
2010 ◽  
Vol 270 (3-4) ◽  
pp. 627-643 ◽  
Author(s):  
Imre Bárány ◽  
Nathanaël Enriquez
Keyword(s):  

2001 ◽  
Vol 63 (2) ◽  
pp. 229-242 ◽  
Author(s):  
Miloš Stojaković

Classes of convex lattice polygons which have minimal lp-perimeter with respect to the number of their vertices are said to be optimal in the sense of the lp-metric.It is proved that if p and q are arbitrary integers or ∞, the asymptotic expression for the lq-perimeter of these optimal convex lattice polygons Qp(n) as a function of the number of their vertices n is . for arbitrary ɛ > 0, where . and Ap is equal to the area of the planar shape |x|p + |y|p ≤ 1.


2017 ◽  
Vol 222 (2) ◽  
pp. 515-549
Author(s):  
Julien Bureaux ◽  
Nathanaël Enriquez
Keyword(s):  

COMBINATORICA ◽  
2004 ◽  
Vol 24 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Norihide Tokushige ◽  
Imre B�r�ny*
Keyword(s):  

2008 ◽  
Vol 30 (1-2) ◽  
pp. 193-199
Author(s):  
Xianglin Wei ◽  
Ren Ding

Author(s):  
D. Ayaseh ◽  
A. Ranjbari

In this paper, we introduce the concepts of $us$-lattice cones and order bornological locally convex lattice cones. In the special case of locally convex solid Riesz spaces, these concepts reduce to the known concepts of seminormed Riesz spaces and order bornological Riesz spaces, respectively. We define solid sets in locally convex cones and present some characterizations for order bornological locally convex lattice cones.


2018 ◽  
Vol 11 (04) ◽  
pp. 486-489
Author(s):  
G. Caristi ◽  
M. Pettineo ◽  
A. Puglisi

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