University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 10 2 2019 07 01 Trees with the Greatest Wiener and Edge-Wiener Index 151 159 48335 10.22052/ijmc.2017.81498.1279 EN Ali Ghalavand Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I R Iran Journal Article 2017 04 07 The Wiener index W and the edge-Wiener index W_e of G are defined as the sum of distances between all pairs of vertices in G and the sum of distances between all pairs of edges in G, respectively. In this paper, we identify the four trees, with the first through fourth greatest Wiener and edge-Wiener index among all trees of order n ≥ 10. tree Wiener index edge-Wiener index Graph operation https://ijmc.kashanu.ac.ir/article_48335_04cc974385e6e35f7f9e18d45299dac1.pdf