The Wiener index and the Wiener complexity of the zero-divisor graph of a ring

Dolžan, David (author)

We calculate the Wiener index of the zero-divisor graph of a finite semisimple ring. We also calculate the Wiener complexity of the zero-divisor graph of a finite simple ring and find an upper bound for the Wiener complexity in the semisimple case.

• Language: English
• Keywords: Wiener index, Wiener complexity, graphs, distance, finite rings, zero-divisors
• 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: 2025
• Number of pages: 12 str.
• Numbering: Vol. 51, iss. 1, art. 10
• PID: 20.500.12556/RUL-166667
• UDC: 519.17:512
• ISSN on article: 1018-6301
• DOI: 10.1007/s41980-024-00939-z
• COBISS.SI-ID: 223133187
• Publication date in RUL: 21.01.2025

Record is a part of a journal

• Title: Bulletin of the Iranian Mathematical Society
• Shortened title: Bull. iran. math. soc.
• Publisher: Springer Nature, Iranian Mathematical Society
• ISSN: 1018-6301
• COBISS.SI-ID: 518040345

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.

Secondary language

• Language: Slovenian
• Keywords: Wienerjev indeks, Wienerjeva kompleksnost, grafi, razdalja, končni kolobarji, delitelji niča

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0222
• Name: Algebra, teorija operatorjev in finančna matematika