The 3-Way Intersection Problem for Kite Systems

被引：2
作者：
Chen, Ping [1 ]
Wang, Xiaomiao [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2018年 / 34卷 / 06期
关键词：
G-Design; Kite system; 3-Way intersection; Intersection problem; Group divisible design; PRESCRIBED NUMBER; S(2;
D O I：
10.1007/s00373-018-1976-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the 3-way intersection problem for G-designs, and we consider this problem for kite systems. Let b(v) = v(v - 1)/8 and I-3(v) = {0, 1, ... , b(v)}\{b(v) - 1}. Let J(3)(v) = {s : there exist three kite systems of order v intersecting in s blocks}. We show that for any positive integer v = 0, 1 (mod 8) and v >= 8, J(3)(v) = I-3(v).
引用
收藏
页码：1741 / 1749
页数：9
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