A Construction Method of Large V Order Steiner Four Elements Large Set

Abstract:

This paper proposed the basic idea of constructing method of large v order Steiner four elements large set under the blow of steiner three elements. At the same, this paper analyzed the conditions for the existence of v order Steiner four elements. This paper also proposed the construction method of v order Steiner four elements large set based on the initial block matrix permutation. This paper also introduced the entire construction process of 9 order Steiner four elements systems large set. This paper proved the number of 9 order Steiner four elements s⁽¹⁾(9)of 9 order Steiner four elements large set is d(9)=v-8=1 .

• Periodical: Applied Mechanics and Materials (Volumes 427-429)
• Pages: 379-382
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.427-429.379
• Online since: September 2013
• Authors: Xiao Yi Li*, Zhao Di Xu, Wan Xi Chou
• Keywords: Block, Large Set, Matrix, Steiner Four Elements System, Structure

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