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

共 50 条

[21] A Completion of the Spectrum for the Overlarge Sets of Pure Mendelsohn Triple Systems
Yuanyuan Liu
Graphs and Combinatorics, 2016, 32 : 1077 - 1100
[22] A new existence proof for large sets of disjoint Steiner triple systems
Ji, L
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2005, 112 (02) : 308 - 327
[23] Large sets of disjoint directed and Mendelsohn packing triple systems on 6k + 5 points
Wu, Aihong
AUSTRALASIAN JOURNAL OF COMBINATORICS, 2007, 37 : 81 - 88
[24] THE CONSTRUCTION OF LARGE SETS OF DISJOINT MENDELSOHN TRIPLE-SYSTEMS OF ORDER 2N + 2
KANG, QD
DISCRETE MATHEMATICS, 1991, 90 (02) : 199 - 205
[25] THE CONSTRUCTION OF LARGE SETS OF DISJOINT MENDELSOHN TRIPLE-SYSTEMS OF ORDER 2N+2
KANG, QD
CHINESE SCIENCE BULLETIN, 1990, 35 (10): : 801 - 805
[26] The existence for large sets of disjoint pure directed triple systems with even orders
Tian, Zihong
ARS COMBINATORIA, 2009, 92 : 73 - 95
[27] On the Embeddings of Mendelsohn Triple Systems
沈灏
Acta Mathematica Sinica,English Series, 1993, (03) : 246 - 251
[28] On the Embeddings of Mendelsohn Triple Systems
沈灏
ActaMathematicaSinica, 1993, (03) : 246 - 251
[29] Mendelsohn directed triple systems
Grannell, M
Griggs, TS
Quinn, KAS
DISCRETE MATHEMATICS, 1999, 205 (1-3) : 85 - 96
[30] Further results on large set of disjoint pure Mendelsohn triple systems
Lei, JG
JOURNAL OF COMBINATORIAL DESIGNS, 2000, 8 (04) : 274 - 290

← 1 2 3 4 5 →