Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614138 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
Let G be a simple graph on n vertices and m edges and μ1,μ2,…,μnμ1,μ2,…,μn be the eigenvalues of the Laplacian matrix of G. The Laplacian energy of G is defined as EL(G)=∑i=1n|μi−2m/n| and the Laplacian Estrada index of G is defined as LEE(G)=∑i=1neμi−2m/n. In this paper we establish asymptotic lower and upper bounds to the Laplacian energy and Laplacian Estrada index, respectively, for random multipartite graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dan Hu, Xueliang Li, Xiaogang Liu, Shenggui Zhang,