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.

引用

页数：15

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