Original scientific paper
Some remarks on Laplacian eigenvalues and Laplacian energy of graphs
Gholam Hossein Fath-Tabar
; Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran
Ali Reza Ashrafi
; Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran
Abstract
Suppose $\mu_1$, $\mu_2$, ... , $\mu_n$ are Laplacian eigenvalues
of a graph $G$. The Laplacian energy of $G$ is defined as $LE(G)
= \sum_{i=1}^n|\mu_i - 2m/n|$. In this paper, some new bounds for
the Laplacian eigenvalues and Laplacian energy of some special
types of the subgraphs of $K_n$ are presented.
Keywords
Laplacian eigenvalue; energy; Laplacian energy
Hrčak ID:
61871
URI
Publication date:
8.12.2010.
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