Geodesic
Some Remarks on the Randić Energy of Graphs
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 517

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 graph of order $n$. The Randić energy of $G$ is defined as $RE\left( G\right) =\sum_{i=1}^{n}\left\vert \rho _{i}\right\vert $, where $\rho _{1}\geq \rho _{2}\geq \cdots \geq \rho _{n}$ are the Randić eigenvalues of $G$. In this study, we present improved bounds for $RE(G)$ as well as a relationship between (ordinary) graph energy and $RE(G)$.
Classification : 05C50, 05C90
Keywords: graph spectrum, Randić spectrum, graph energy, Randić energy 
Ş. B. Bozkurt Altındağ; I. Milovanović; E. Milovanović. Some Remarks on the Randić Energy of Graphs. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 517 . http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a1/
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     title = {Some {Remarks} on the {Randi\'c} {Energy} of {Graphs}},
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