The Intersection Numbers of Nearly Kirkman Triple Systems

被引：1
|
作者：
Fan, Bing Li [1 ]
Jiang, Zhong Hao [1 ]
机构：
[1] Beijing Jiaotong Univ, Inst Math, Beijing 100044, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Nearly kirkman triple system; parallel class; frame; intersection number; GROUP-DIVISIBLE DESIGNS; SUBSYSTEMS; EXISTENCE; COMMON;
D O I：
10.1007/s10114-016-5218-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the intersection numbers of nearly Kirkman triple systems. J(N)[v] is the set of all integers k such that there is a pair of NKTS(v)s with a common uncovered collection of 2-subset intersecting in k triples. It has been established that J(N) left perpendicular v right perpendicular = {0, 1,...,v(v-2)/6 - 6, v(v-2)/6 - 4, v(v-2)/6} for any integers v 0 (mod 6) and v >= 66. For v <= 60, there are 8 cases left undecided.
引用
收藏
页码：1430 / 1450
页数：21
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