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中文摘要：
图的染色问题是图论研究的主要内容之一,起源于著名的＂四色猜想＂问题.图G的一个正常边染色f称为是Smarandachely邻点可区别的,如果对G中任何相邻的两个顶点u与v,与u关联的边的颜色的集合和与v关联的边的颜色构成的集合互不包含.对一个图G进行Smarandachely邻点可区别正常边染色所用的最少颜色数称为G的Smarandachely邻点可区别正常边色数,简称为G的SA-边色数,记为χ′sa（G）.讨论K3∨Kn的SA-边色数,得到相应的结果.
英文摘要：
A proper edge coloring of G would be a Smarandachely adjacent vertex distinguishing edge coloring if for any two adjacent vertices u and v,the set of colors appearing on the edges incident to u and that appearing on the edges incident to v were not included with each other.The smallest number of colors used for smarandachely adjacent-vertex-distinguishing proper edge coloring of G exists was called the Smarandachely adjacent vertex distinguishing edge chromatic number,or SA-edge chromatic number for short,and denoted by χ′ sa（G）.In this paper,the SA-edge chromatic number of K3∨Kn was discussed.
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