What is it about?

In this paper we give some bounds on Laplacian energy of a graph G in terms of the order, the size and the maximum degree of G. . Also a Nordhaus–Gaddum-type result for Laplacian energy of graphs is obtained. Moreover, we present a relation between Laplacian energy and Laplacian-energy-like invariant of graphs.

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Why is it important?

The Laplacian energy found applications not only in theoretical organic chemistry, but also in image processing and information theory.

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This page is a summary of: On Laplacian energy of graphs, Discrete Mathematics, June 2014, Elsevier,
DOI: 10.1016/j.disc.2014.02.017.
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