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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.)
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