Estimating the distance Estrada index

Kuwait Journal of Science

Yilun Shang¹ 

[1] Dept. of Mathematics, Tongji University, Shanghai 200092, China

关键词: Distance degree;    distance matrix;    Estrada index;    Wiener index.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

Suppose $G$ is a simple graph on $n$ vertices. The $D$-eigenvalues$\mu_1,\mu_2,\cdots,\mu_n$ of $G$ are the eigenvalues of itsdistance matrix. The distance Estrada index of $G$ is defined as$DEE(G)=\sum_{i=1}^ne^{\mu_i}$. In this paper, we establish newlower and upper bounds for $DEE(G)$ in terms of the Wiener index$W(G)$. We also compute the distance Estrada index for some concretegraphs including the buckminsterfullerene $C_{60}$.

【 授权许可】

Unknown