New relationship between Energy and Estrada Index
DOI:
https://doi.org/10.5890/DNC.2021.12.003Abstract
Let $G$ be a graph on $n$ vertices, and let $\lambda_{1}, \cdots,\lambda_{n}$ be its eigenvalues. The energy $E(G)$ of a graph $G$ is defined as the sum of absolute values of the eigenvalues of $G$. The Estrada index of the graph $G$ is defined as $EE(G)=\sum ^{n} _{i=1}e^{\lambda_{i}}$. We get some new bounds for $EE(G)$. Some special inequalities are used to obtain the relationship between $E(G)$ and $EE(G)$.References
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