A Construction for Large Sets of Pairwise Disjoint Extended Directed Triple Systems

2008 ◽  
Author(s):  
Xiaozhe Wang ◽  
Yagang Zhang
Keyword(s):  
Pairwise Disjoint ◽  
Triple Systems ◽  
Large Sets

Two Isomorphic 9 Order Steiner Triple Systems Large Sets

2013 ◽  
Vol 427-429 ◽  
pp. 1237-1240
Author(s):  
Zhao Di Xu ◽  
Xiao Yi Li ◽  
Wan Xi Chou
Keyword(s):  
Pairwise Disjoint ◽  
Permutation Matrix ◽  
Large Set ◽  
Steiner Triple Systems ◽  
Triple Systems ◽  
Large Sets ◽  
Initial Block ◽  
Disjoint Sets ◽  
Basic Ideas ◽  
Block Permutation

This paper Clarifies the basic ideas of constructing the v order Steiner triple systems. This paper proposed the construction method of pairwise disjoint sets s(i)(v) for Steiner triple systems based on the initial block permutation matrix. And a method of initial block permutation matrix is given. This paper also introduced the entire construction process of two isomorphic 9 order Steiner triple systems large set. At last, this paper proved the number of pairwise disjoint forsi(9)is d(9)=7 .

Large sets of Kirkman triple systems of orders 22n+1+1

2021 ◽  
Vol 344 (6) ◽  
pp. 112373
Author(s):  
Juanjuan Xu ◽  
Lijun Ji
Keyword(s):  
Triple Systems ◽  
Large Sets

The existence of r-large sets of Mendelsohn triple systems

2021 ◽  
Vol 344 (8) ◽  
pp. 112444
Author(s):  
Xiangqian Li ◽  
Yanxun Chang ◽  
Zihong Tian
Keyword(s):  
Triple Systems ◽  
Large Sets

scholarly journals The spectrum for large sets of pure Mendelsohn triple systems

2008 ◽  
Vol 308 (10) ◽  
pp. 1850-1863 ◽  
Author(s):  
Junling Zhou ◽  
Yanxun Chang ◽  
L. Ji
Keyword(s):  
Triple Systems ◽  
Large Sets
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