Interval orders and dimension

被引:4
|
作者
Kierstead, HA [1 ]
Trotter, WT [1 ]
机构
[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
关键词
dimension; interval order; overlap graph;
D O I
10.1016/S0012-365X(99)00178-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that for every interval order X, there exists an integer t so that if Y is any interval order with dimension at least t, then Y contains a subposet isomorphic to X. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:179 / 188
页数:10
相关论文
共 50 条
  • [1] BOUND ON DIMENSION OF INTERVAL ORDERS
    BOGART, KP
    RABINOVICH, I
    TROTTER, WT
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1976, 21 (03) : 319 - 328
  • [2] Dimension of Restricted Classes of Interval Orders
    Keller, Mitchel T.
    Trenk, Ann N.
    Young, Stephen J.
    [J]. GRAPHS AND COMBINATORICS, 2022, 38 (05)
  • [3] UPPER BOUND ON DIMENSION OF INTERVAL ORDERS
    RABINOVITCH, I
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1978, 25 (01) : 68 - 71
  • [4] Dimension of Restricted Classes of Interval Orders
    Mitchel T. Keller
    Ann N. Trenk
    Stephen J. Young
    [J]. Graphs and Combinatorics, 2022, 38
  • [5] DIMENSION OF INTERVAL ORDERS IS GROWING - PRELIMINARY REPORT
    BOGART, KP
    RABINOVI.I
    TROTTER, WT
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A38 - A38
  • [6] A characterization of interval orders with semiorder dimension two
    Apke, Alexander
    Schrader, Rainer
    [J]. DISCRETE APPLIED MATHEMATICS, 2021, 297 : 142 - 150
  • [7] A RECOGNITION ALGORITHM FOR ORDERS OF INTERVAL DIMENSION-2
    LANGLEY, LJ
    [J]. DISCRETE APPLIED MATHEMATICS, 1995, 60 (1-3) : 257 - 266
  • [8] The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders
    Schroeder, Bernd S. W.
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2021, 38 (02): : 271 - 281
  • [9] The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders
    Bernd S. W. Schröder
    [J]. Order, 2021, 38 : 271 - 281
  • [10] INTERVAL ORDERS AND CIRCLE ORDERS
    FISHBURN, PC
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1988, 5 (03): : 225 - 234