TWO-DIMENSIONAL DISJOINT MINIMAL GRAPHS

被引：0
|
作者：
Zhou, Linfeng [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2012年 / 257卷 / 02期
关键词：
minimal graphs; Meeks conjecture;
D O I：
10.2140/pjm.2012.257.503
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under the assumption of Gauss curvature vanishing at infinity, we prove Meeks' conjecture: the number of disjointly supported minimal graphs in R-3 is at most two.
引用
收藏
页码：503 / 510
页数：8
相关论文
共 50 条
  • [21] MINIMAL GRAPHS WITH DISJOINT DOMINATING AND PAIRED-DOMINATING SETS
    Henning, Michael A.
    Topp, Jerzy
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2021, 41 (03) : 827 - 847
  • [22] Two-dimensional packing algorithms for layout of disconnected graphs
    Dogrusoz, U
    INFORMATION SCIENCES, 2002, 143 (1-4) : 147 - 158
  • [23] Two-dimensional graphs moving by mean curvature flow
    Chen, JY
    Li, JY
    Tian, G
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (02) : 209 - 224
  • [24] TWO-DIMENSIONAL CRITICAL-POINT CONFIGURATION GRAPHS
    NACKMAN, LR
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1984, 6 (04) : 442 - 450
  • [25] Two-Dimensional Graphs Moving by Mean Curvature Flow
    Jing Yi Chen
    Jia Yu Li
    Gang Tian
    Acta Mathematica Sinica, 2002, 18 : 209 - 224
  • [26] COMPLETE SORTS OF TWO-DIMENSIONAL ISOGONAL MINIMUM GRAPHS
    GALIULIN, RV
    KONOVALOV, OV
    KRISTALLOGRAFIYA, 1989, 34 (05): : 1279 - 1281
  • [27] Two-Dimensional Graphs Moving by Mean Curvature Flow
    CHEN Jing Yi Department of Mathematics.The University of British Columbia.Vancouver.B.C..Canada V6T 1Z2 E-mail:jychen@math.ubc.caLI Jia Yu Institute of Mathematics.Academy of Mathematics and System Sciences.Chinese Academy of Sciences.Beijing 100080.P.R.China Department of Mathematics.Fudan University.Shanghai 200433.P.R.China E-mail:lijia@math03.math.ac.cnTIAN Gang Department of Mathematics
    Acta Mathematica Sinica(English Series), 2002, 18 (02) : 209 - 224
  • [28] On the girth of two-dimensional real algebraically defined graphs
    Ganger, Allison J.
    Golden, Shannon N.
    Kronenthal, Brian G.
    Lyons, Carter A.
    DISCRETE MATHEMATICS, 2019, 342 (10) : 2834 - 2842
  • [29] ON THE MINIMAL TEACHING SETS OF TWO-DIMENSIONAL THRESHOLD FUNCTIONS
    Alekseyev, Max A.
    Basova, Marina G.
    Zolotykh, Nikolai Yu.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2015, 29 (01) : 157 - 165
  • [30] THE OPTIMAL REPRESENTATION OF DISJOINT ISO-ORIENTED RECTANGLES IN TWO-DIMENSIONAL TREES
    VELDHORST, M
    JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 1986, 7 (01): : 1 - 34
12345