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k元de Bruijn-Good图的1-因子图与分配多面体图
引用本文:李学良,张福基.k元de Bruijn-Good图的1-因子图与分配多面体图[J].新疆大学学报(理工版),1989(4).
作者姓名:李学良  张福基
作者单位:新疆大学数学系,新疆大学数学系
摘    要:本文首先修正了文献2]中的定义1.2,然后给出了由κ元(?)级 de Bruijn-Good图的1-因子构成的变换图的结构,得到了它与分配多面体图(graph of assign-ment polytope)的关系,从而得知它具有一些好的性质.

关 键 词:κ元n级  de  Bruijn-G00d图  1-因子变换图  交替换向闭迹  分配多面体

1-Factor Graph of de Bruijn-Good Grgph D_n~k and The Graph of Assignment Polytope
Li Xueliang Zhang Fuji.1-Factor Graph of de Bruijn-Good Grgph D_n~k and The Graph of Assignment Polytope[J].Journal of Xinjiang University(Science & Engineering),1989(4).
Authors:Li Xueliang Zhang Fuji
Abstract:This paper gives the structure of 1-factor graph of de Bruijn-Good Graph D_n~k.We obtain that the 1-factor graph is isomorphic to the Cartesian product of k~(n-1) copies of the graph of assignment polytope.Thus,it has many good proper-ties.It is worth pointing out that we correct the definition 1.2 of 2] and all results in 2] are still true.
Keywords:de Bruijn-Good graph D_n~k  1-factor graph  closed trail with alternately changed directions  assignment polytope
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