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关于K4同胚图色唯一性的几个新结果
引用本文:李为民.关于K4同胚图色唯一性的几个新结果[J].应用数学,1991,4(3):43-47.
作者姓名:李为民
作者单位:南京邮电学院 南京
摘    要:本文证得:如果i,j,k,l,m,n中有四个数相等,而另外二个数不小于此数,则K_4(i,j,k,l,m,n)是色唯一的.此外,我们还得到了另外两族具有色唯一性的K_4同胚图.

关 键 词:多项式  K_4同胚图  色唯一性

An Approach to Chromatic Uniqueness of K_4 Homeomorphs
Li Weimin.An Approach to Chromatic Uniqueness of K_4 Homeomorphs[J].Mathematica Applicata,1991,4(3):43-47.
Authors:Li Weimin
Institution:Nanjing Post and Telecommunications College
Abstract:The K_4 homcomorph is denoted by K_4(i, j, k, l, m, n), in which the lengths of its six paths between pairs of degree-3 vertices are i,j,k,l,m, n respectively. It is shown that K-4(i, j, k, l, m,n) is chromatically unique if four numbers among i,j,k,l,m,n are equal and the other two numbers are not less than it. And two families of chromatically unique K_4 homeomorphs are also obtained.
Keywords:Chromatic polynomial  K_4 homeomorph  Chromatic uniqueness  
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