Method of Construction and Enumeration Steiner Triple Systems with Order 19

Xiao Yi Li; Zhao Di Xu; Wan Xi Chou

doi:10.4028/www.scientific.net/KEM.474-476.1205

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 474-476Method of Construction and Enumeration Steiner...

Method of Construction and Enumeration Steiner Triple Systems with Order 19

Abstract:

Basic idea of this paper is constructing the v order Steiner triple systems. A definition of the edge matrix is given, a method of constructing and technology view for sub graph decomposition of is proposed. Giving an introduction of constructing and counting 19 order Steiner triple systems. The method of constructing and counting Steiner triple systems in this paper is effective.

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Key Engineering Materials (Volumes 474-476)

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1205-1208

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.474-476.1205

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Online since:

April 2011

Authors:

Xiao Yi Li, Zhao Di Xu, Wan Xi Chou

Keywords:

Complete Graph, Construction, Edge Matrix, Enumeration, Steiner Triple System

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