Construction and Enumeration of Steiner Triple System of Order

journal6 ›› 2010, Vol. 31 ›› Issue (5): 1-4.

• Mathematics • Next Articles

Construction and Enumeration of Steiner Triple System of Order

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

Online:2010-09-25 Published:2012-04-12

Abstract

Abstract: The basic concept of constructing Steiner triple system of order v is described.The definition of edge matrix of a complete graph Kv is given.A method of constructing Steiner triple system of order 2t+1 is proposed.The entire procedures of constructing Steiner triple system of order 31 according to the steiner triple system of order 15 is explicated.The enumeration problem of Steiner triple system is discussed.

Key words: Steiner triple system, construction, order, complete graph, edge matrix

CHOU Wan-Xi, LI Xiao-Yi. Construction and Enumeration of Steiner Triple System of Order[J]. journal6, 2010, 31(5): 1-4.

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Construction and Enumeration of Steiner Triple System of Order

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