Properties of connected ortho-convex sets in the plane

被引：0
|
作者：
A. M. Dulliev
机构：
[1] Tupolev Kazan National Research Technical University,
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
ortho-convex set; ortho-half-space; ortho-hyperplane; ortho-separation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Topological properties of connected ortho-convex sets in the plane, i.e., connected sets convex along the horizontal and vertical lines are studied. Several geometric statements concerning the ortho-separation of ortho-convex sets are proved.
引用
收藏
页码：443 / 459
页数：16
相关论文
共 50 条
  • [41] Characterization of Cheeger sets for convex subsets of the plane
    Kawohl, Bernd
    Lachand-Robert, Thomas
    PACIFIC JOURNAL OF MATHEMATICS, 2006, 225 (01) : 103 - 118
  • [42] The combinatorial encoding of disjoint convex sets in the plane
    Goodman, Jacob E.
    Pollack, Richard
    COMBINATORICA, 2008, 28 (01) : 69 - 81
  • [43] Radial perfect partitions of convex sets in the plane
    Kaneko, A
    Kano, M
    Nakamura, G
    Rivera-Campo, E
    Tokunaga, S
    Urrutia, J
    DISCRETE AND COMPUTATIONAL GEOMETRY, 2000, 1763 : 1 - 13
  • [44] Finding convex sets among points in the plane
    Kleitman, D
    Pachter, L
    DISCRETE & COMPUTATIONAL GEOMETRY, 1998, 19 (03) : 405 - 410
  • [45] Colouring Arcwise Connected Sets in the Plane II
    Sean McGuinness
    Graphs and Combinatorics, 2001, 17 : 135 - 148
  • [46] LINE TRANSVERSALS IN FAMILIES OF CONNECTED SETS IN THE PLANE
    Mcginnis, Daniel
    Zerbib, Shira
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2022, 36 (04) : 2916 - 2919
  • [47] Colouring arcwise connected sets in the plane II
    McGuinness, S
    GRAPHS AND COMBINATORICS, 2001, 17 (01) : 135 - 148
  • [48] Colouring arcwise connected sets in the plane I
    McGuinness, S
    GRAPHS AND COMBINATORICS, 2000, 16 (04) : 429 - 439
  • [49] Colouring Arcwise Connected Sets in the Plane I
    Sean McGuinness
    Graphs and Combinatorics, 2000, 16 : 429 - 439
  • [50] Relatively convex subsets of simply connected planar sets
    Evelyn Magazanik
    Micha A. Perles
    Israel Journal of Mathematics, 2007, 160 : 143 - 155
12345