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

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

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

Construction and Enumeration of Steiner Triple Systems with Order V

2014 ◽  
Vol 496-500 ◽  
pp. 2355-2358
Author(s):  
Zhao Di Xu ◽  
Xiao Yi Li ◽  
Wan Xi Chou
Keyword(s):  
Basic Concept ◽  
Steiner Triple Systems ◽  
Original Matrix ◽  
Triple Systems ◽  
Large Sets ◽  
Entire Procedure

This paper describes the basic concept of constructing the large sets of Steiner triple systems of order v. It proposes a method of constructing the large sets of Steiner triple systems by using permutation of original matrix, and it presents entire procedure of constructing the large sets of Steiner triple systems of order 7. It verified the number of disjoint Steiner triple systems.

scholarly journals Large sets of resolvable Mendelsohn triple systems of prime power sizes

2015 ◽  
Vol 338 (6) ◽  
pp. 1017-1021
Author(s):  
Mingming Geng ◽  
Junling Zhou
Keyword(s):  
Prime Power ◽  
Triple Systems ◽  
Large Sets
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