Risto Atanasov (Author), Boris Furtula (Author), Riste Škrekovski (Author)

Abstract

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.

Keywords

grafi;topološki indeks;Szeged indeks;graph;topological index;Szeged index;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 519.17
COBISS: 16979971 Link will open in a new window
ISSN: 2073-8994
Views: 203
Downloads: 53
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: grafi;topološki indeks;Szeged indeks;
Type (COBISS): Article
Pages: str. 1-10
Volume: ǂVol. ǂ12
Issue: ǂiss. ǂ5
Chronology: May 2020
DOI: 10.3390/sym12050793
ID: 14083850