Trees with minimum weighted Szeged index are of a large diameterAtanasov, Risto (Avtor) Furtula, Boris (Avtor) Škrekovski, Riste (Avtor) graphtopological indexSzeged indexdistancedegreeweighted Szeged indextreesThe 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.20202021-12-10 15:05:12Članek v reviji133720UDK: 519.17ISSN pri članku: 2073-8994DOI: 10.3390/sym12050793COBISS_ID: 16979971sl