期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

Extended Mendelsohn三元系大集的构造

  • 华北电力大学 应用数学系, 河北 保定 071000
  • DOI:

The Structure of Large Sets of Disjoint Extended Mendelsohn Triple

摘要/Abstract

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.

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.