DocumentCode
2525772
Title
Construction and enumeration of Steiner triple systems with order s×t
Author
Li, Xiao-Yi ; Xu, Zhao-Di ; Chou, Wan-Xi
Author_Institution
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
fYear
2011
fDate
23-25 May 2011
Firstpage
4243
Lastpage
4247
Abstract
The basic ideology of constructing Steiner triple systems with order s×t is described. The edges matrix of a complete graph with arbitrary order v is defined. A method of constructing Steiner triple systems with order s×t is proposed. The entire procedure of constructing Steiner triple systems with order 39 is presented. The problems of both construction and enumeration Steiner triple systems with higher order are solved.
Keywords
graph theory; matrix algebra; Steiner triple systems; combinatorial mathematics; complete graph; edges matrix; order s×t; Digital communication; Education; Graph theory; Matrix decomposition; Planning; Sufficient conditions; Complete graph; Construction; Edges matrix; Order; Steiner triple systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location
Mianyang
Print_ISBN
978-1-4244-8737-0
Type
conf
DOI
10.1109/CCDC.2011.5968971
Filename
5968971
Link To Document