关于两类K_4同胚图色等价性的研究

On the Chromatic Equivalence of Two Families of K_4-Homeomorphs

利用色多项式研究了围长为7的K4同胚图K4(1,3,3,δ,ε,η)与K4(3,2,2,δ',ε',η')之间的色等价性问题,指出围长为7的K4同胚图K4(1,3,3,δ,ε,η)与K4(3,2,2,δ',ε',η')不存在色等价关系。这一结论有助于解决围长为7的K同胚图的色唯一性问题。

In this paper,the chromatic equivalence of K4(1,3,3,δ,ε,η) and K4(3,2,2,δ',ε',η') girthing 7 is studied from the point of view of their chromatic polynomials. It is shown thatK4(1,3,3,δ,ε,η) and K4(3,2,2,δ',ε',η') are not equivalent. This conclusion helps to solve the problem of chromatic uniqueness of the K4-homeomorphs girthing 7.