Trees with minimum weighted Szeged index are of a large diameter

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

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.

• Language: English
• Keywords: graph, topological index, Szeged index, distance, degree, weighted Szeged index, trees
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: 10 str.
• Numbering: Vol. 12, iss. 5, art. 793
• PID: 20.500.12556/RUL-133720
• UDC: 519.17
• ISSN on article: 2073-8994
• DOI: 10.3390/sym12050793
• COBISS.SI-ID: 16979971
• Publication date in RUL: 10.12.2021

Record is a part of a journal

• Title: Symmetry
• Shortened title: Symmetry
• Publisher: Molecular Diversity Preservation International
• ISSN: 2073-8994
• COBISS.SI-ID: 517592345

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
• Licensing start date: 09.05.2020

Secondary language

• Language: Slovenian
• Keywords: grafi, topološki indeks, Szeged indeks