20.500.12556/DKUM-100466 New results on Wiener index of trees with a given diameter We study the Wiener index of a class of trees with fixed diameter and order. A double broom is a tree such that there exist two vertices u and v, such that each leaf of T is adjacent to u or v. We prove that for a tree T of diameter d and (sufficiently large) order n such that , T has maximum Wiener index (in the class of trees of diameter d and order n) if and only if T is a balanced double broom. Our results are sharp up to a small constant. Wiener index trees diameter drevesa diametri true false true Taylor & Francis Angleški jezik Slovenski jezik https://www.tandfonline.com/journals/tqma20 ©2026The Author(s) Članek v reviji 2026-09-18 12:02:49 2026-09-18 12:02:49 2026-09-19 03:06:31 0000-00-00 00:00:00 2026 0 0 16 str. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-10-08 0000-00-00 2026-09-11 519.17 291147267 10.2989/16073606.2026.2718457 1727-933X https://www.tandfonline.com/doi/epdf/10.2989/16073606.2026.2718457?needAccess=true 1 1b742555-b348-11f1-a766-00155d0001be https://dk.um.si/Dokument.php?lang=slv&id=212865 New_results_on_Wiener_index_of_trees_with_a_given_diameter.pdf New_results_on_Wiener_index_of_trees_with_a_given_diameter.pdf 1 5117A3442AE664F404690F525DDA7A8C 8583e9c8c37761fdbcc7209af219a9b2e8a716416a3ec7bd0af3f5d305393f22 8b316c2a-b348-11f1-a766-00155d0001be https://dk.um.si/Dokument.php?lang=slv&id=212866 Fakulteta za elektrotehniko, računalništvo in informatiko 0 0 0