Metric dimension of irregular convex triangular networks

Prabhu, Savari (author), Jeba, D. Sagaya Rani (author), Arulperumjothi, M. (author), Klavžar, Sandi (author)

Irregular convex triangular networks consist of the interior of a $6$-sided convex polygon drawn on the infinite triangular network. Formal description of these applicable networks is provided. In the main result it is proved that the metric dimension of an irregular convex triangular network is either $2$ or $3$ and the determination of which value is the right one is specified. Metric dimensions of various graph classes and interconnection networks are also collected.

• Language: English
• Keywords: graph networks, metric dimension, irregular convex triangular network
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.01.2024
• Year: 2024
• Number of pages: Str. 225-231
• Numbering: Vol. 21, iss. 3
• PID: 20.500.12556/RUL-165401
• UDC: 519.17
• ISSN on article: 0972-8600
• DOI: 10.1080/09728600.2023.2280799
• COBISS.SI-ID: 217762563
• Publication date in RUL: 05.12.2024

Record is a part of a journal

• Title: AKCE international journal of graphs and combinatorics
• Shortened title: AKCE Int. J. Graphs Comb.
• Publisher: Kalasalingam University, Taylor & Francis
• ISSN: 0972-8600
• COBISS.SI-ID: 18191126

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: omrežja grafov, metrična dimenzija, neregularno konveksno trikotniško omrežje