AbstractLet n be a positive integer and ∥·∥ any norm in R2. Denote by B the unit ball of ∥·∥ and PB,n the class of convex lattice polygons with n vertices and least ∥·∥-perimeter. We prove that after suitable normalization, all members of PB,n tend to a fixed convex body, as n→∞
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
This thesis deals with three main extremal problems on convex lattice polygons in the plane. A conve...
AbstractLet n be a positive integer and ∥·∥ any norm in R2. Denote by B the unit ball of ∥·∥ and PB,...
AbstractClasses of convex lattice polygons which have minimal lp-perimeter with respect to the numbe...
AbstractClasses of convex lattice polygons which have minimal lp-perimeter with respect to the numbe...
AbstractThis paper expresses the minimal possible lp-perimeter of a convex lattice polygon with resp...
22 pagesWhat is the minimum perimeter of a convex lattice $n$-gon? This question was answered by Jar...
Abstract What is the minimum perimeter of a convex lattice n-gon? This question was answered by Jarn...
AbstractThis paper expresses the minimal possible lp-perimeter of a convex lattice polygon with resp...
A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes ...
28 pagesA detailed combinatorial analysis of planar lattice convex polygonal lines is presented. Thi...
Let Π_n be the set of convex polygonal lines Γ with vertices on Z^2_+ and fixed endpoints 0 = (0, 0)...
Let Πn be the set of planar convex lattice polygons Γ (i.e., with vertices on Z2+ and non-negative i...
We study fully convex polygons with a given area, and variable perimeter length on square and hexago...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
This thesis deals with three main extremal problems on convex lattice polygons in the plane. A conve...
AbstractLet n be a positive integer and ∥·∥ any norm in R2. Denote by B the unit ball of ∥·∥ and PB,...
AbstractClasses of convex lattice polygons which have minimal lp-perimeter with respect to the numbe...
AbstractClasses of convex lattice polygons which have minimal lp-perimeter with respect to the numbe...
AbstractThis paper expresses the minimal possible lp-perimeter of a convex lattice polygon with resp...
22 pagesWhat is the minimum perimeter of a convex lattice $n$-gon? This question was answered by Jar...
Abstract What is the minimum perimeter of a convex lattice n-gon? This question was answered by Jarn...
AbstractThis paper expresses the minimal possible lp-perimeter of a convex lattice polygon with resp...
A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes ...
28 pagesA detailed combinatorial analysis of planar lattice convex polygonal lines is presented. Thi...
Let Π_n be the set of convex polygonal lines Γ with vertices on Z^2_+ and fixed endpoints 0 = (0, 0)...
Let Πn be the set of planar convex lattice polygons Γ (i.e., with vertices on Z2+ and non-negative i...
We study fully convex polygons with a given area, and variable perimeter length on square and hexago...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
AbstractThe diameter of a convex set C is the length of the longest segment in C, and the local diam...
This thesis deals with three main extremal problems on convex lattice polygons in the plane. A conve...
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