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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968971
