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 
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/
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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.