University of KashanIranian Journal of Mathematical Chemistry2228-648910220190701Trees with the Greatest Wiener and Edge-Wiener Index1511594833510.22052/ijmc.2017.81498.1279ENAli GhalavandDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I R Iran0000-0002-8186-0146Journal Article20170407The 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.https://ijmc.kashanu.ac.ir/article_48335_04cc974385e6e35f7f9e18d45299dac1.pdf