Construction of Pure Mendelsohn Triple Systems  

作　　者：夏兴无 沈灏 

机构地区：[1]Dept. of Mathematics, Shanghai Jiaotong Univ., Shanghai 200030, China

出　　处：《Journal of Shanghai Jiaotong university(Science)》2005年第2期212-216,共5页上海交通大学学报（英文版）

基　　金：NationalNaturalScienceFoundationof China(No.10471093)

摘　　要：This paper determined the existence of λ-fold pure Mendelsohn triple system of order v satisfying λv(v-1)≡0 (mod 3) and v≥4λ+5, or v=2λ+2, and in the case of λ=4,5,6,which completely settled their existence.This paper determined the existence of λ-fold pure Mendelsohn triple system of order v satisfying λv(v-1)≡0 (mod 3) and v≥4λ+5, or v=2λ+2, and in the case of λ=4,5,6,which completely settled their existence.

关 键 词：triple system PURE Mendelsohn triple system 

分 类 号：O174[理学—数学]