A Method of Constructing Steiner Triple Systems of Order 3t-2

journal6 ›› 2010, Vol. 31 ›› Issue (4): 1-4.

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A Method of Constructing Steiner Triple Systems of Order 3t-2

(1.School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,Anhui China;2.School of Mathematics and Computational Science,Huainan Normal University,Huainan 232038,Anhui China;3.School of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China)

Online:2010-07-25 Published:2012-04-16

Abstract

Abstract: The basic concept of constructing Steiner triple systems of order v is described.The definition of edges matrix is given.A method of constructing Steiner triple systems of order 3t-2 is proposed.The entire procedure of constructing Steiner triple systems of order 25 is presented.The enumeration problem of disjoint Steiner triple systems of order 25 is discussed.

Key words: Steiner triple systems, construction, complete graph, edges matrix, order

CHOU Wan-Xi, HUO Yu-Hong, LI Xiao-Yi. A Method of Constructing Steiner Triple Systems of Order 3t-2[J]. journal6, 2010, 31(4): 1-4.

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A Method of Constructing Steiner Triple Systems of Order 3t-2

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