| 循环图的预解Estrada指标 |
| |
| 引用本文： | 周后卿.循环图的预解Estrada指标[J].浙江大学学报(理学版),2016,43(5):517-520. |
| |
| 作者姓名： | 周后卿 |
| |
| 作者单位： | 邵阳学院 数学系, 湖南 邵阳 422000 |
| |
| 基金项目： | 湖南省教育厅科学研究项目（15C1235）；邵阳市科技局科技计划项目（2015JH41）. |
| |
| 摘 要： |
|
| 关 键 词： | 循环图 整循环图 预解Estrada指标 特征值 |
| 收稿时间： | 2015-12-22 |
Resolvent Estrada index for circulant graphs |
| |
| ZHOU Houqing.Resolvent Estrada index for circulant graphs[J].Journal of Zhejiang University(Sciences Edition),2016,43(5):517-520. |
| |
| Authors: | ZHOU Houqing |
| |
| Affiliation: | Department of Mathematics, Shaoyang University, Shaoyang 422000, Hunan Province, China |
| |
| Abstract: | Circulant graphs are an important class of network topology. Let G be a simple graph with n vertices, let A be the adjacency matrix of G, and λ1,λ2,…,λn be the eigenvalues of graph G. As a kind of centrality of complex networks, the resolvent Estrada index of G is defined as EEr(G)= ((1-λi)/(n-1))-1. By Ramanujan's sum, using the Euler function and Mobius function, we characterize the lower bound of resolvent Estrada index of circulant graph, and obtain some computational formulas of integral circulant graphs. |
| |
| Keywords: | circulant graph integral circulant graph resolvent Estrada index eigenvalue |
|
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
|
