DocumentCode
2525758
Title
A new method of constructing Kirkman triple system
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
4237
Lastpage
4242
Abstract
The method of constructing Kirkman triple system with order 6n+3 is proposed. The fundamental theory of constructing Kirkman triple system with order 6n+3 is described and the conclusion is proved. The process of construction Kirkman triple system with order 27 and 45 are proposed in detail. The conclusion suggested that the fundamental theory of constructing Kirkman triple system which provided a new and effective ways for constructing Kirkman triple system of order 6n+3.
Keywords
matrix algebra; set theory; Kirkman triple system construction process; set partition; Civil engineering; Education; Matrix decomposition; Silicon; Sufficient conditions; Construction; Kirkman triple system; Order; Primary matrix; Set partition;
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.2011.5968970
Filename
5968970
Link To Document