On the spectrum of [v,k,t] trades

被引：6
|
作者：
Gray, BD
Ramsay, C
机构：
[1] Univ Queensland, Ctr Combinator, Dept Math, Brisbane, Qld 4072, Australia
[2] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[3] Univ Queensland, Sch Informat Technol, Brisbane, Qld 4072, Australia
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1998年 / 69卷 / 01期
关键词：
trades; null t-designs;
D O I：
10.1016/S0378-3758(97)00123-7
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
A [v, k, t] trade of volume in consists of two disjoint collections T-1 and T-2, each of m k-subsets of a a-set V, such that each t-subset of V is contained in the same number of blocks of T-1 and T-2, and each element of V is contained in at least one block of T-1. We study [v,k,t] trades, and investigate their spectrum (i.e., the collections of allowable volumes), using both theoretical techniques and computer-based searches. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：1 / 19
页数：19
相关论文
共 50 条
  • [1] On the Spectrum of Steiner (v,k,t) Trades (II)
    Brenton D. Gray
    Colin Ramsay
    [J]. Graphs and Combinatorics, 1999, 15 : 405 - 415
  • [2] On the Spectrum of Steiner (v, k, t) Trades (II)
    Gray, BD
    Ramsay, C
    [J]. GRAPHS AND COMBINATORICS, 1999, 15 (04) : 405 - 415
  • [3] t-(v, k) trades and t-(v, k) Latin trades
    Mahmoodian, E. S.
    Najafian, M. S.
    [J]. UTILITAS MATHEMATICA, 2011, 85 : 143 - 159
  • [4] ON THE STRUCTURE OF (V,K,T) TRADES
    HWANG, HL
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1986, 13 (02) : 179 - 191
  • [5] ON THE POSSIBLE VOLUME OF μ-(v, k, t) TRADES
    Rashidi, S.
    Soltankhah, N.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (06): : 1387 - 1401
  • [6] On the nonexistence of Steiner t-(v,k) trades
    Hoorfar, A
    Khosrovshahi, GB
    [J]. ARS COMBINATORIA, 2005, 75 : 195 - 204
  • [7] A Completion of the Spectrum of 3-Way (v, k, 2) Steiner Trades
    Rashidi, Saeedeh
    Soltankhah, Nasrin
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2022, 180 (01)
  • [8] On a conjecture of Mahmoodian and Soltankhah regarding the existence of (v,k,t) trades
    Gray, BD
    Ramsay, C
    [J]. ARS COMBINATORIA, 1998, 48 : 191 - 194
  • [9] The minimum possible volume size of it μ-way (v, k, t) trades
    Golalizadeh, Somayyeh
    Soltankhah, Nasrin
    [J]. UTILITAS MATHEMATICA, 2019, 111 : 211 - 224
  • [10] On the spectrum of simple T(2, 3, υ) trades
    Behbahani, M.
    Khosrovshahi, G. B.
    Tayfeh-Rezaie, B.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (07) : 2236 - 2242
12345