某一类色唯一的K_4-同胚图  

A Certain Family of Chromatically Unique K_4 Homeomorphs

作　　者：李雪峰[1] 

机构地区：[1]西安邮电学院长安校区理学院,陕西西安710121

出　　处：《数学的实践与认识》2011年第13期179-184,共6页Mathematics in Practice and Theory

基　　金：西安邮电学院中青年基金(105-0464)

摘　　要：令K_4(i,j,k,l,m,n)表示两两三度点间的路长分别为i,j,k,l,m,n的K_4-同胚图.对6条路的长均大于1且有4条路的长相等其余两条路互不相等的K_4-同胚图的着色进行了研究,得到了一类色唯一的K_4-同胚图.let K4（i, j, k, l, m, n）denote the K4 homeomorph in which the lengths of its six paths between pairs of degree 3 vertices axe i, j, k, l, re,n, respectively. In this paper, we study the chromaticity of a part of K4（i, j, k, l, m, n）when i, j, k, l, m, n are all more than 1, and there are four paths whose lengths are equivalent, but other two paths whose lengths are not equal to each other, and obtained a family of chromatically unique K4 homeomorphs.

关 键 词：K4-同胚图 色等价 色唯一 

分 类 号：O157.5[理学—数学]