Trees with minimum weighted Szeged index are of a large diameter [Elektronski vir]
Atanasov, Risto ; Furtula, Boris ; Škrekovski, Riste
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.
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