A Method of Constructing Steiner Triple System of Order 2t+1-Reference-Cited by-同舟云学术

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A Method of Constructing Steiner Triple System of Order 2t+1

Published:2014-02-06 Issue: Volume:513-517 Page:2995-2998
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Xu Zhao Di¹,Li Xiao Yi²,Chou Wan Xi²

Affiliation:

1. Shenyang Normal University

2. Anhui University of Science and Technology

Abstract

The basic concept of constructing the Steiner triple systems of order is described. The detinition of edges matrix of the complete graph is given. A method of constructing Steiner triple system of order is proposed. The errtire procedure of constructing Steiner triple systems of orderand is presented respectively, The enumeration problem of Steiner triple systems of order is discussed [1-1.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.513-517.2995.pdf

Reference14 articles.

1. Richard A. bruald. Introductory Combinatorics[M]. Amsterdam: North-Holland Publishing Company, (1997).

2. J.H. vanLint, R.M. Wilson. A Course in Combinatorics[M]. Beijing: China Machine Press, (2004).

3. CHOU Wan-xi. A Method of Constructing Kirkman Triple System of Order[J]. Mathematics In Practice and Theory, 2004, 34(9): 144-150.

4. TIAN Jin-ting, ZHANG Ying-shan, ZHANG Xiao-qin. The Comparison and Application of Balanced Block Orthogonal Arrays and Orthogonal Arrays[J]. Mathematics in Practice and Theory, 2009, 39(22): 59-67.

5. H. Cao, Y. Tang. On Kirkman packing designs KPD({3, 4}, v)[J]. Discrete Mathematics, 2004, 279(1-3): 121-133.

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