The Intersection Numbers of Nearly Kirkman Triple Systems

被引：1
|
作者：
Bing Li FAN
Zhong Hao JIANG
机构：
[1] InstituteofMathematics,BeijingJiaotongUniversity
来源：
ActaMathematicaSinica | 2016年 / 32卷 / 12期
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D O I：
暂无
中图分类号：
O144 [集合论];
学科分类号：
摘要：
In this paper,we investigate the intersection numbers of nearly Kirkman triple systems.JN [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 JN[v]={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.
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页码：1430 / 1450
页数：21
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