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All Journal Eksakta : Berkala Ilmiah Bidang MIPA
Luthfi Hadiyan Fajri
Department of Mathematics and Data Science, Faculty of Mathematics and Natural Science (FMIPA), Universitas Andalas, Padang, Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering

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Journal : Eksakta : Berkala Ilmiah Bidang MIPA

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On the Metric Dimension for Snowflake Graph Muhammad Rafif Fajri; Luthfi Hadiyan Fajri; Jamaluddin Ashari; Abdurrahman Abdurrahman; Alifaziz Arsyad
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 23 No. 04 (2022): Eksakta: Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/eksakta/vol23-iss04/348

Abstract

The concept of metric dimension is derived from the resolving set of a graph, that is measure the diameter among vertices in a graph. For its usefulness in diverse fields, it is interesting to find the metric dimension of various classes of graphs. In this paper, we introduce two new graphs, namely snowflake graph and generalized snowflake graph. After we construct these graphs, aided with a lemma about the lower bound of the metric dimension on a graph that has leaves, and manually recognized the pattern, we found that dim(Snow) = 24 and dim(Snow(n,a,b,c)) = n(a+c+1).
Co-Authors Abdurrahman Abdurrahman Alifaziz Arsyad Jamaluddin Ashari Muhammad Rafif Fajri