20.500.12556/RUL-133720 Trees with minimum weighted Szeged index are of a large diameter The weighted Szeged index (wSz) has gained considerable attention recently because of its unusual mathematical properties. Searching for a tree (or trees) that minimizes the wSz is still going on. Several structural details of a minimal tree were described. Here, it is shown a surprising property that these trees have maximum degree at most 16, and as a consequence, we promptly conclude that these trees are of large diameter. graph topological index Szeged index distance degree weighted Szeged index trees grafi topološki indeks Szeged indeks true false true Angleški jezik Slovenski jezik Članek v reviji 2021-12-10 15:05:12 2021-12-10 15:05:13 2022-09-13 03:52:19 0000-00-00 00:00:00 2020 0 0 10 str. iss. 5, art. 793 Vol. 12 May 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 2073-8994 10.3390/sym12050793 16979971 RAZ_Atanasov_Risto_2020.pdf RAZ_Atanasov_Risto_2020.pdf 1 45FD80EEB392741817AF9704870807FE adb93b2e0e3850794bc20e21309844972168127a0391b7b8cff7082fa3939068 60c09f4a-59c2-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=152024 https://www.mdpi.com/2073-8994/12/5/793 0 427717bd-59c2-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=152023 Fakulteta za matematiko in fiziko 0 0 0