中文摘要：

通过研究具有相同“体积”的图类中具有最小的第一Dirichlet特征值的图的性质，刻画了具有给定边界点数的单圈图中具有Faber—Krahn性质的图．

英文摘要：

The properties of the graphs which have the smallest first Dirichlet eigenvalue in the set of the graphs with fixed ＂volume＂ have been studied. These results are used to characterize all extremal graphs with Faber-Krahn property among all unicyclic graphs with the fixed number of boundary vertices.