Title :
A new method of constructing Steiner triple systems
Author :
Li, Xiaoyi ; Xu, Zhaodi ; Chou, Wanxi
Author_Institution :
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
Abstract :
A new method of constructing Steiner triple systems has been proposed. The basic theory that contain definition, lemmas of decomposable of some complete graphs has been described. A theorem concerning construction of Steiner triple systems has been proved. The entire procedure of constructing Steiner triple systems of order 91 has been presented.
Keywords :
graph theory; graphs; Steiner triple systems; complete graphs; Bipartite graph; Civil engineering; Combinatorial mathematics; Digital communication; Educational institutions; Matrix decomposition; Virtual manufacturing; Steiner triple systems; construction; matrix; order;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498501
