Article ID Journal Published Year Pages File Type
8899918 Journal of Mathematical Analysis and Applications 2018 9 Pages PDF
Abstract
Let G be a simple graph with n vertices and let μ1≥μ2≥⋯≥μn=0 be the Laplacian eigenvalues of G. The k-th Laplacian spectral moment of G is defined to beLMk(G)=∑i=1nμik(G), where k is a non-negative integer; and the Laplacian Estrada index of G is defined asLEE(G)=∑i=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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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