On the energy of some circulant graphs

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Energy of a Graph (2006, methodology): “Using Gaussian sums, Shparlinski [13] gave constructions of circulant graphs with high energy.”
Minimum energy on trees with k pendent vertices (2006, unknown): “, see, [1,3,5–10,12–23,25–27,29–34]).”
Graphs and matrices of maximal energy (2006, background): “, [10]) that Gp is a (p− 1) /2-regular graph and σ2 (Gp) = ( p + 1 )”
The energy of graphs and matrices (2006, unknown): “, [2], [8], [10], [11], [12], [13], and [14]).”
On the distance spectra of some graphs (2008, unknown): “This definition was motivated by the much older [7] and nowadays extensively studied [8, 9, 10, 13, 14, 15, 16] graph energy, defined in a manner fully analogous to Eq.”