A lower bound for the smallest eigenvalue of a graph and an application to the associahedron graph

被引：0
|
作者：
Cioaba, Sebastian M. [1 ]
Gupta, Vishal [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2022年 / 65卷 / 04期
关键词：
Associahedron graph; smallest eigenvalue; second largest eigenvalue; triangulation; mixing time; MAX CUT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain a lower bound for the smallest eigenvalue of a regular graph containing many copies of a smaller fixed subgraph. This generalizes a result of Aharoni, Alon, and Berger in which the subgraph is a triangle. We apply our results to obtain a lower bound on the smallest eigenvalue of the associahedron graph, and we prove that this bound gives the correct order of magnitude of this eigenvalue. We also survey what is known regarding the second-largest eigenvalue of the associahedron graph.
引用
收藏
页码：393 / 404
页数：12
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