南京师大学报（自然科学版）2007，Vol.30Issue(4)：6-9,4.
具有β1型区组的(12,4,1)-PMD的完全分类
A Complete Classification of (12,4,1)-PMDs With a β1-Block
摘要
Abstract
A perfect Mendelsohn design, denoted by (v,k,λ)-PMD is a pair (X,A), where X is a v-set(of points), and A is a collection of cyclically ordered k-subsets of X(called blocks), such that every ordered pair of points of X appears t-apart in exactly λ blocks of A for any t, where 1≤ t ≤k-1. Let A be a block of A, if there are exactly u blocks of A, which have no common elements with A, then we say A is a βu-block. In this article, it is proved that there are exactly 141 non-isomorphic (12,4,1)-PMDs with a β1-block.关键词
βu-区组/完全/Mendelsohn设计/同构Key words
βu-block, perfect, Mendelsohn design, isomorphism分类
数理科学引用本文复制引用
张学斌,陆晓萍,王桢..具有β1型区组的(12,4,1)-PMD的完全分类[J].南京师大学报（自然科学版）,2007,30(4):6-9,4.基金项目
Supported by the NNSF(19971043). （19971043）
