Geodesic
Note on the Randic Energy of Graphs
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 209

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If $G$ is a graph on $n$ vertices, and $d_i$ is the degree of its $i$-th vertex, then the Randic matrix of $G$ is the square matrix of order $n$ whose $(i, j)$-entry is equal to $1/\sqrt{d_id_j}$ if the $i$-th and $j$-th vertex of $G$ are adjacent, and zero otherwise. In this note, we obtain some new lower and upper bounds for the Randic energy.
Classification : 05C50 15A18
Keywords: Randić energy, Randić matrix, bounds 
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     author = {Jun He and Yan-Min Liu and Jun-Kang Tian},
     title = {Note on the {Randic} {Energy} of {Graphs}},
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Jun He; Yan-Min Liu; Jun-Kang Tian. Note on the Randic Energy of Graphs. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 209 . http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a3/