University of IsfahanTransactions on Combinatorics2251-865713320240901Relations between energy of graphs and wener, harary indices2792862787310.22108/toc.2023.132397.1955ENAlperUlkerDepartment of Mathematics, American International University, Al Jahra, Kuwait0000-0001-5592-7450Journal Article20220118Harary and Wiener indices are distance-based topological index. In this paper, we study the relations of graph energy $\varepsilon(G)$ and its Harary index $\textup{H}(G)$ and Wiener index $\textup{W}(G)$. Moreover, for a given graph $G$ we study the lower bound of $\frac{\textup{H}(G)}{\varepsilon(G)}$ and $\frac{\textup{W}(G)}{\varepsilon(G)}$ in terms of number of vertices of $G$.https://toc.ui.ac.ir/article_27873_2b366935d19ba0e3054d3a7a543c658c.pdf