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Extended Mendelsohn三元系大集的构造
引用本文:王小哲,于兰香. Extended Mendelsohn三元系大集的构造[J]. 河北师范大学学报(自然科学版), 2006, 30(5): 497-499
作者姓名:王小哲  于兰香
作者单位:华北电力大学,应用数学系,河北,保定,071000;华北电力大学,应用数学系,河北,保定,071000
摘    要:Mendelsohn三元系大集(LMTS)是一类有向设计的大集,它的存在性问题已完全解决.若在以上的设计中要求有序对(x,x)也出现,则称这样的设计为extended Mendelsohn三元系大集(LEMTS).给出了LEMTS的构造,从而完全解决了LEMTS的存在性问题.

关 键 词:Mendelsohn三元系大集  extended Mendelsohn三元系大集  循环三元组
文章编号:1000-5854(2006)05-0497-03
修稿时间:2006-03-10

The Structure of Large Sets of Disjoint Extended Mendelsohn Triple
WANG Xiao-zhe,YU Lan-xiang. The Structure of Large Sets of Disjoint Extended Mendelsohn Triple[J]. Journal of Hebei Normal University, 2006, 30(5): 497-499
Authors:WANG Xiao-zhe  YU Lan-xiang
Abstract:Large set of pairwise disjoint Mendelsohn triple systems(LMTS) is a kind of large set of oriented design.The existence of LMTS has been proved.The kind of large set above-mentioned is called large set of pairwise disjoint extended Mendelsohn triple systems(LEMTS) if oriented pair(x,x) occurs in them.The structure of LEMTS(v) is proved and the existence of LEMTS is obtained.
Keywords:large set of pairwise disjoint Mendelsohn triple systems  large set of pairwise disjoint extended Mendelsohn triple systems  cyclic triple
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