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All Journal Limits: Journal of Mathematics and Its Applications
Khusniyatinna'im, Layinatu
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Computer Science & IT Mathematics

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Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu Khusniyatinna'im, Layinatu; Kusmayadi, Tri Tri Atmojo; Martini, Titin Sri
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 2 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v22i2.3455

Abstract

Let be a connected graph with set of vertices and set of edges . The distance from two distinct vertices , denoted by , is the length of the shortest path from and in . Let be an ordered subset of . For any vertex , the representation of vertex with respect to is defined as k-ordered pairs . The set is said to be the resolving set of if every two vertices differ then . The basis of is the resolving set of with the smallest cardinality. The cardinality of the base is defined as metric dimension, and is denoted by . This research aims to find the metric dimension of fan star graph and hibiscus graph. The research method in this research is a literature study. The result of this research are as follow the metric dimension of the fan star graph are for and and for dan , then the metric dimension of the hibiscus gaph are for and for .
Co-Authors Kusmayadi, Tri Tri Atmojo Martini, Titin Sri