The Construction of Disjoint Multiple-Element Systems with v Order

Zhao Di Xu; Xiao Yi Li; Wan Xi Chou

doi:10.4028/www.scientific.net/AMM.513-517.4513

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 513-517The Construction of Disjoint Multiple-Element...

The Construction of Disjoint Multiple-Element Systems with v Order

Abstract:

Clarify the properties of derived design and complement design. The properties of Abstract: The definitions of derived design and complementary design are given. The method of constructing disjoint (13,4,1) design is proposed. The entire procedure of constructing (14,3,1) design ,(26,13,8,4,2) design and (13,9,6) design is also presented completely. 15 disjoint (13,4,1) design , 15 disjoint (13,9,6) design and 7 disjoint (26,13,8,4,2) design are obtained. The number of disjoint (13, 4, 1) design is proved.

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Periodical:

Applied Mechanics and Materials (Volumes 513-517)

Pages:

4513-4516

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.513-517.4513

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Online since:

February 2014

Authors:

Zhao Di Xu*, Xiao Yi Li, Wan Xi Chou

Keywords:

Complement, Construction, Derived Design, Multiple-Element System

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* - Corresponding Author

References

[1] Wei Wan-di. Combinatorics[M]. Beijing: China Machine Press. (2010).

Google Scholar

[2] D.R. Hughes F.C. Piper. Design theory[M]. London: cambridge University Press. (1985).

Google Scholar

[3] Fred S. Roberts. Barry Tesman. Applied Combinatorics[M]. Beijing: China Machine Press. (1984).

Google Scholar

[4] J.H. valint.R.M. Wilson. A Course in Combinatorics[M]. Beijing: China Machine Press. (1992).

Google Scholar

[5] Richard A. Brualdl. Introductory Combinatorics[M]. Beijing: China Machine Press. (1999).

Google Scholar

[6] Chou Wan-xi. A new method of order Kirkman triple system[J]. Mathematics in Practice and Theory. 2004，34(9)：144-150.

Google Scholar

[7] Chou Wan-xi. High-end Steiner triple systems and construction method[J]. Anhui University of Technology：Natural Science. 2004，24(3)：76-80.

Google Scholar

[8] J.G. Lei, On large stes of Kirkman systems with holes, Discrete Mathematics, 2002, 254(1-3): 259-274.

DOI: 10.1016/s0012-365x(01)00295-3

Google Scholar

[9] S. Zhang, L. Zhu, An improved product construction for large sets of Kirkman triple systems, Discrete Mathematics, 2003, 260(1-3): 307-313.

DOI: 10.1016/s0012-365x(02)00766-5

Google Scholar

[10] S. Hao, Intersections of Kirkman triple systems, Journal of Statistical Planning and Inference, 2001, 94(2): 313-325.

DOI: 10.1016/s0378-3758(00)00262-7

Google Scholar