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

https://hrcak.srce.hr/61871

Publication date:

8.12.2010.

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