中文摘要：

通过引进Mycielski图点集的一类特殊划分，利用该划分在Mycielski图循环着色中的特点改进了如下猜想：完全图的Mycielski图的循环色数等于它的点色数．

英文摘要：

In the active research graphs,a famous conjecture is that the subject of the circular chromatic number of Mycielski circular chromatic number of Mycielski graph of complete graphs is equal to its chromatic number. In this paper, based on introducing a special kind of partition of Mycielski graphs and some new concepts, the characters of the circular coloring of Mycielski graphs are analyzed,and are used to make the conjecture progress.