关于K_4同胚图色唯一性的几个新结果  

An Approach to Chromatic Uniqueness of K_4 Homeomorphs

作　　者：李为民[1] 

机构地区：[1]南京邮电学院,南京210003

出　　处：《应用数学》1991年第3期43-47,共5页Mathematica Applicata

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.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.

关 键 词：多项式 K4同胚图 色唯一性 

分 类 号：O157.5[理学—数学]