Further results on nearly Kirkman triple systems with subsystems

被引：19
|
作者：
Deng, DM
Rees, R [1 ]
Shen, H
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
来源：
DISCRETE MATHEMATICS | 2003年 / 270卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(02)00749-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we further discuss the embedding problem for nearly Kirkman triple systems and get the result that: (1) For u drop v drop 0(mod 6), v greater than or equal to 78, and u greater than or equal to 3.5v, there exists an NKTS(u) containing a sub-NKTS(v). (2) For v = 18,24,30,36,42,48,54,60,66 or 72, there exists an NKTS(u) containing a sub-NKTS(v) if and only if u drop 0 (mod 6) and u greater than or equal to 3v. (C) 2002 Elsevier B.V. All rights reserved.
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页码：99 / 114
页数：16
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