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中文摘要：
研究了形如p（n1,n2,…,nm）∪pn^2不交并图的优美性.证明了如果T.Gracl猜想成立,则形如p（n1,n2,…,nm）∪pn^2不交并图的优美性在一定的条件下成立,并给出了当n=3,4,5,6,7,8,9时,p（n1,n2,…,nm）∪pn^2的优美标号.
英文摘要：
A study has been done in this thesis on the gracefulness of a graph like disjoint union of p（n1,n2,…,nm）∪Pn^2. It is proved that the graph like disjoint union of p （n1,n2,…,nm）∪pn^2 is graceful under some condition if the hypothesis of T. Gracl is true. Moreover, we give the graceful labelings of p （n1,n2,…,nm）∪Pn^2 when n = 3,4,5,6,7,8,9. In some sense, this work is also helpful for proving the hypothesis of T. Gracl.
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