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中文摘要：
本文研究了图的2-强边色数的上界．利用图染色的概率方法中的一般局部引理，得到了3≤△≤730时，x＇s（G，2）≤2△＋1，推广了参考文献[11，12]中的结果
英文摘要：
In this paper, we study the upper bound for the the r-strong edge chromatic number of regular graph. By probability method, we prove that if 3≤△≤730, then x＇s（G,2）≤2△＋1 by the general local lemma, which extends some corresponding results in [11, 12].
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