Sigma&Mu: Journal of Mathematics, Statistics and Data Science
Vol. 3 No. 1 (2025): March

Metric Dimension of the Pinwheel Subdivision Graph K_1+mK_3

Sugiarty, Vetty (Unknown)
Amrullah, Amrullah (Unknown)
Hikmah, Nurul (Unknown)



Article Info

Publish Date
31 Mar 2025

Abstract

Metric dimension is an important concept in graph theory that is widely used in various fields, including navigation, network localization, and network design. The concept of metric dimension is the concept of determining the least marker vertex so that each vertex in the graph is distinguished from each other. The purpose of this research is to determine the metric dimension of the pinwheel subdivision graph ????1+????????3. The type of research used is pure research. By using graph structure and vertex distance analysis, this paper shows the value of the metric dimension of the subdivision graph ????(????,????), specifically on the pinwheel graph ????=????1+????????3 for 2≤????≤4. The results show that the metric dimension of the pinwheel subdivision graph ????1+????????3 is one less than the metric dimension of the pinwheel graph before subdivision, ????????????(????(????,????))=????????????(????)−1.

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Journal Info

Abbrev

sigmamu

Publisher

Subject

Education Mathematics

Description

Sigma&Mu: Journal of Mathematics, Statistics and Data Science is an international peer-reviewed journal that publishes original and high-quality research papers in all areas of mathematics, statistics, and data sciences. As an important academic exchange platform, scientists and researchers can know ...