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Note on Laplacian energy of graphs. (English) Zbl 1199.05217
Authors’ abstract: Let $$G$$ be an $$(n,m)$$-graph and $$\mu_1,\mu_2,\dots,\mu_n$$ its Laplacian eigenvalues. The Laplacian energy $$LE$$ of $$G$$ is defined as $$\sum_{i=1}^n| \mu_i-2m/n|$$. Some new bounds for $$LE$$ are presented, and some results from the paper [B. Zhou and I. Gutman, “Nordhaus-Gaddum-type relations for the energy and Laplacian energy of graphs”, Bull., Cl. Sci. Math. Nat., Sci. Math. 134, No. 32, 1-11 (2007; Zbl 1250.05074)] are improved and extended.

##### MSC:
 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
##### Keywords:
graph spectra; Laplacian eigenvalues; Laplacian energy
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