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On the second Laplacian spectral moment of a graph

Ying Liu;  Yu Qin Sun — 2010

Czechoslovak Mathematical Journal

Kragujevac (M. L. Kragujevac: On the Laplacian energy of a graph, Czech. Math. J. () (2006), 1207–1213) gave the definition of Laplacian energy of a graph G and proved L E ( G ) ≥ 6 n - 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.

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