scholarly journals Cyclic large sets of Steiner triple systems of order $15$

1990 ◽  
Vol 55 (192) ◽  
pp. 821
Author(s):  
Kevin T. Phelps
Keyword(s):  
Steiner Triple Systems ◽  
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 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

Construction of Large Sets of Almost Disjoint Steiner Triple Systems

1975 ◽  
Vol 27 (2) ◽  
pp. 256-260 ◽  
Author(s):  
C. C. Lindner ◽  
A. Rosa
Keyword(s):  
Triple System ◽  
Steiner Triple System ◽  
Steiner Triple Systems ◽  
Triple Systems ◽  
Large Sets ◽  
Almost Disjoint

A Steiner triple system (briefly STS) is a pair (S, t) where S is a set and t is a collection of 3-subsets of S (called triples) such that every 2-subset of S is contained in exactly one triple of t. The number |S| is called the order of the STS (S, t). It is well-known that there is an STS of order v if and only if v = 1 or 3 (mod 6). Therefore in saying that a certain property concerning STS is true for all v it is understood that v = 1 or 3 (mod 6).

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