Geodesic
On second-stage spectrum and energy of a graph
Kragujevac Journal of Mathematics, Tome 34 (2010) 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 $G$ be a simple graph. The {t derived graph\/} of $G$, denoted by $G^\dagger$, is the graph having the same vertex set as $G$, in which two vertices are adjacent if and only if their distance in $G$ is two. We establish several spectral properties of $G^\dagger$, including its energy. 
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     author = {Singaraj K. Ayyaswamy and Selvaraj Balachandran and Ivan Gutman},
     title = {On second-stage spectrum and energy of a graph},
     journal = {Kragujevac Journal of Mathematics},
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     publisher = {mathdoc},
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     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a11/}
}
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Singaraj K. Ayyaswamy; Selvaraj Balachandran; Ivan Gutman. On second-stage spectrum and energy of a graph. Kragujevac Journal of Mathematics, Tome 34 (2010) no. 1. http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a11/