单圈图的Faber-Krahn型不等式
Faber-Krahn type inequality for unicyclic graphs
摘要：
Faber-Krahn不等式证明了在$\mathbb{R}^n$中所有具有固定体积的有界区域中，球具有最小的第一Dirichlet特征值。本文研究了单圈图的相似不等式。结果表明，对于具有给定图单圈度序列的单圈图，Faber-Krahn型不等式也成立。
英文摘要：
The Faber-Krahn inequality states that the ball has minimal first Dirichlet eigenvalue among all bounded domains with the fixed volume in $\mathbb{R}^n$. In this paper, we investigate the similar inequality for unicyclic graphs. The results show that the Faber-Krahn type inequality also holds for unicyclic graphs with a given graphic unicyclic degree sequence with minor conditions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
