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
  • [21] Basic Interval Orders
    Amy Myers
    [J]. Order, 1999, 16 : 261 - 275
  • [22] ON THE DIRECTIONALITY OF INTERVAL ORDERS
    BOUCHITTE, V
    JEGOU, R
    RAMPON, JX
    [J]. DISCRETE APPLIED MATHEMATICS, 1994, 48 (01) : 87 - 92
  • [23] Homothetic interval orders
    Lemaire, Bertrand
    Le Menestrel, Marc
    [J]. DISCRETE MATHEMATICS, 2006, 306 (15) : 1669 - 1683
  • [24] Basic interval orders
    Myers, A
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1999, 16 (03): : 261 - 275
  • [25] COUNTING INTERVAL ORDERS
    HAXELL, PE
    MCDONALD, JJ
    THOMASON, SK
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1987, 4 (03): : 269 - 272
  • [26] INTERVAL LENGTHS FOR INTERVAL ORDERS - A MINIMIZATION PROBLEM
    FISHBURN, PC
    [J]. DISCRETE MATHEMATICS, 1983, 47 (01) : 63 - 82
  • [27] On the Boolean dimension of spherical orders
    Brightwell, GR
    Franciosa, PG
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1996, 13 (03): : 233 - 243
  • [28] GLOBAL DIMENSION OF TRIANGULAR ORDERS
    TARSY, RB
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (02) : 423 - &
  • [29] ORDERS WITH FINITE GLOBAL DIMENSION
    RAMRAS, MB
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A361 - A361
  • [30] ORDERS OF GLOBAL DIMENSION 2
    ROGGENKAMP, KW
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1978, 160 (01) : 63 - 67