一类凯莱图的2－边临界性

2-Edge Critical Property of a Kind of Caylel Graphs

设Г是奇数阶阿贝尔群上的４－正则连通凯莱图．讨论了的边着色问题，其中ｅ１，ｅ２是Г的任意两边．通过研究Г的哈密顿分解，得出如下结果：对Г的任意两条边ｅ１，ｅ２，存在Г的一个哈密顿分解分离ｅ１，ｅ２；进而证明是第一类的．

Supposing Г to be a 4-regtilar connected Cayley graph on an abelian group of odd order, the edge-coloring problem ofГ-{e1,e2 } is discussed in this paper,where e1, e2 are two arbitrary edges of Г. After detailed studies of the hamiltonian decomposition of Г, it is seen that for any two edges e1, e2 of Г, there exists a hamiltonian decomposition of Г to seperate e1, e2. With this result, it is concluded that Г- {e1, e2} is of class Ⅰ.