Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899918 | Journal of Mathematical Analysis and Applications | 2018 | 9 Pages |
Abstract
Let G be a simple graph with n vertices and let μ1â¥Î¼2â¥â¯â¥Î¼n=0 be the Laplacian eigenvalues of G. The k-th Laplacian spectral moment of G is defined to beLMk(G)=âi=1nμik(G), where k is a non-negative integer; and the Laplacian Estrada index of G is defined asLEE(G)=âi=1neμi. In this paper, we first estimate these two indices for almost all graphs, and then we give lower and upper bounds to these two indices for almost all multipartite graphs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nan Gao, Dan Hu, Xiaogang Liu, Shenggui Zhang,