Geodesic
Nordhaus-gaddum-type relations for the energy and Laplacian energy of graphs
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $\overline{G}$ denote the complement of the graph $G$ . If $I(G)$ is some invariant of $G$ , then relations (identities, bounds, and similar) pertaining to $I(G)+I(\overline{G})$ are said to be of Nordhaus-Gaddum type. A number of lower and upper bounds of Nordhaus-Gaddum type are obtained for the energy and Laplacian energy of graphs. Also some new relations for the Laplacian graph energy are established. 
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     title = {Nordhaus-gaddum-type relations for the energy and {Laplacian} energy of graphs},
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B. Zhou; I. Gutman. Nordhaus-gaddum-type relations for the energy and Laplacian energy of graphs. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1. http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a0/