University of KashanIranian Journal of Mathematical Chemistry2228-648913420221201On the General Eccentric Distance Sum of Graphs and Trees23925211287910.22052/ijmc.2022.246189.1617ENYetneberk KumaFeyissaDepartment of Applied Mathematics, School of Applied Natural Science, Adama Science and Technology University, Adama, Ethiopia0000-0003-0389-8605Muhammad ImranDepartment of Mathematical Sciences, Colleges of Science, United Arab Emirates University, Al Ain, United Arab EmiratesTomas VetrikDepartment of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa0000-0002-0387-7276Natea HundeDepartment of Applied Mathematics, School of Applied Natural Science, Adama Science and Technology University, Adama, EthiopiaJournal Article20220321We obtain some sharp bounds on the general eccentric distance sum for general graphs, bipartite graphs and trees with given order and diameter 3, graphs with given order and domination number 2, and for the join of two graphs with given order and number of vertices having maximum possible degree. Extremal graphs are presented for all the bounds.https://ijmc.kashanu.ac.ir/article_112879_5c9c78fc8f09b0019075aba7cdffb474.pdf