Minimal Polygons with Fixed Lattice Width

被引:0
|
作者
Filip Cools
Alexander Lemmens
机构
[1] The Katholieke Universiteit Leuven,Department of Mathematics
来源
Annals of Combinatorics | 2019年 / 23卷
关键词
Convex lattice; Polytopes; Convex lattice polygons; Lattice width; Primary 52B20; 52C05; Secondary 05E18;
D O I
暂无
中图分类号
学科分类号
摘要
We classify the unimodular equivalence classes of inclusion-minimal polygons with a certain fixed lattice width. As a corollary, we find a sharp upper bound on the number of lattice points of these minimal polygons.
引用
收藏
页码:285 / 293
页数:8
相关论文
共 50 条
  • [1] Minimal Polygons with Fixed Lattice Width
    Cools, Filip
    Lemmens, Alexander
    ANNALS OF COMBINATORICS, 2019, 23 (02) : 285 - 293
  • [2] Limit shape of convex lattice polygons with minimal perimeter
    Prodromou, MN
    DISCRETE MATHEMATICS, 2005, 300 (1-3) : 139 - 151
  • [3] Convex lattice polygons of fixed area with perimeter-dependent weights
    Rajesh, R
    Dhar, D
    PHYSICAL REVIEW E, 2005, 71 (01):
  • [4] Isoperimetric Polygons of Maximum Width
    Charles Audet
    Pierre Hansen
    Frédéric Messine
    Discrete & Computational Geometry, 2009, 41 : 45 - 60
  • [5] The exact lattice width of planar sets and minimal arithmetical thickness
    Feschet, F.
    COMBINATORIAL IMAGE ANALYSIS, PROCEEDINGS, 2006, 4040 : 25 - 33
  • [6] Width Deviation of Convex Polygons
    Akiyama, Shigeki
    Kamae, Teturo
    DISCRETE & COMPUTATIONAL GEOMETRY, 2024, 71 (04) : 1403 - 1428
  • [7] On convex polygons of maximal width
    Bezdek, A
    Fodor, F
    ARCHIV DER MATHEMATIK, 2000, 74 (01) : 75 - 80
  • [8] Isoperimetric Polygons of Maximum Width
    Audet, Charles
    Hansen, Pierre
    Messine, Frederic
    DISCRETE & COMPUTATIONAL GEOMETRY, 2009, 41 (01) : 45 - 60
  • [9] Width Deviation of Convex Polygons
    Shigeki Akiyama
    Teturo Kamae
    Discrete & Computational Geometry, 2024, 71 : 1403 - 1428
  • [10] On convex polygons of maximal width
    A. Bezdek
    F. Fodor
    Archiv der Mathematik, 2000, 74 : 75 - 80