Geodesic
On the second Laplacian spectral moment of a graph
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 401-410

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Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. {\it 56}({\it 131}) (2006), 1207--1213) gave the definition of Laplacian energy of a graph $G$ and proved $LE(G)\geq 6n-8$; equality holds if and only if $G=P_n$. In this paper we consider the relation between the Laplacian energy and the chromatic number of a graph $G$ and give an upper bound for the Laplacian energy on a connected graph.
Classification : 05C50
Keywords: Laplacian eigenvalues; Laplacian energy; chromatic number; complement 
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Liu, Ying; Sun, Yu Qin. On the second Laplacian spectral moment of a graph. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 401-410. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a7/