The Intersection Problem for Kite-GDDs of Type 2u

作     者：Yonghong AN Guizhi ZHANG Yonghong AN;Guizhi ZHANG

作者机构：College of Continuing Education Hulunbuir University Division of Science and Technology Hulunbuir University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2021年第41卷第6期

页      面：551-564页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11601137) the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region (Grant Nos. NJZY19231 NJZZ21052) 

主　　题：kite-GDD group divisible design intersection number 

摘      要：The intersection problem for kite-GDDs is the determination of all pairs（T, s） such that there exists a pair of kite-GDDs（X, H, B） and（X, H, B） of the same type T satisfying|B∩ B| = s. In this paper the intersection problem for a pair of kite-GDDs of type 2is investigated. Let ■;I（u） = {0, 1,..., b-2, b}, where b= u（u-1）/2 is the number of blocks of a kite-GDD of type 2. We show that for any positive integer u ≥ 4, J（u） = I（u） and J（3） = {0, 3}.