Title : 
A method of constructing Kirkman triple system of higher order
         
        
            Author : 
Li, Xiaoyi ; Xu, Zhaodi ; Chou, Wanxi
         
        
            Author_Institution : 
Sch. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China
         
        
        
        
        
        
            Abstract : 
A method of construction Kirkman triple system of higher order is proposed. A fundamental theory of constructing Kirkman triple system of order r × t is described.The entire procedure of construction Kirkman triple system of order 225 is presented.
         
        
            Keywords : 
combinatorial mathematics; Kirkman triple system construction; Biodegradation; Bipartite graph; Civil engineering; Design for experiments; Digital communication; Educational institutions; Mathematics; Sufficient conditions; Virtual manufacturing; construction; construction Kirkman system; matrix; order; set;
         
        
        
        
            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.2010.5498816