The existence of r-large sets of Mendelsohn triple systems

被引：0
|
作者：
Li, Xiangqian [1 ]
Chang, Yanxun [1 ]
Tian, Zihong [2 ]
机构：
[1] Beijing Jiaotong Univ, Inst Math, Beijing 100044, Peoples R China
[2] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
来源：
DISCRETE MATHEMATICS | 2021年 / 344卷 / 08期
关键词：
Large set; Ordered design; Mendelsohn triple system;
D O I：
10.1016/j.disc.2021.112444
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An r-large set of Mendelsohn triple systems of order v, denoted by r-LMTS(v), is a large set of ordered designs of order v(LOD(v)) which contains rMTS( v)s and v-r-2/3 cyclic tuples of OD( v)s. In this paper, some recursive constructions for r-LMTS(v)s are presented. Together with direct constructions, several infinite classes of r-LMTS(v)s are established. (C) 2021 Elsevier B.V. All rights reserved.
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页数：15
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