Geodesic
Derived graphs of some graphs
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 309 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The derived graph of a simple graph $G$, 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. Continuing the studies communicated in Kragujevac J. Math. {\bf 34} (2010), 139-146, we examined derived graphs of some graphs and determine their spectra.
Classification : 05C12 05C50 05C75
Keywords: Derived graph, spectrum (of graph), second-stage spectrum (of graph) 
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     author = {Sudhir R. Jog and Satish P. Hande and Ivan Gutman and S. Burcu Bozkurt},
     title = {Derived graphs of some graphs},
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     year = {2012},
     volume = {36},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/}
}
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Sudhir R. Jog; Satish P. Hande; Ivan Gutman; S. Burcu Bozkurt. Derived graphs of some graphs. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 2, p. 309 . http://geodesic.mathdoc.fr/item/KJM_2012_36_2_a13/