| 张光军,张晓东.具有相同边界的单圈图的Faber-Krahn型不等式}[J].数学年刊A辑,2013,34(5):561~568 |
| 具有相同边界的单圈图的Faber-Krahn型不等式} |
| Faber-Krahn Type Inequalities for Unicyclic Graphs with the Same Boundaries |
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| DOI： |
| 中文关键词: 第一Dirichlet特征值, 拉普拉斯算子, Faber-Krahn性质, 单圈图 |
| 英文关键词:First Dirichlet eigenvalue, Laplace operator, Faber-Krahn property,
Unicyclic graph |
| 基金项目:国家自然科学基金 (No.11271256) |
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| 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. |
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