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 .

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 Existence of good large sets of Steiner triple systems

2009 ◽  
Vol 309 (12) ◽  
pp. 3930-3935 ◽  
Author(s):  
Junling Zhou ◽  
Yanxun Chang
Keyword(s):  
Steiner Triple Systems ◽  
Triple Systems ◽  
Large Sets
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