Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu

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 .

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Publication Details

Journal
Limits Journal of Mathematics and Its Applications
Published
2025-07-19
DOI
https://doi.org/10.12962/limits.v22i2.3455
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu

Titin Sri Martini, Layinatu Khusniyatinna'im, Tri Tri Atmojo Kusmayadi
Limits Journal of Mathematics and Its Applications
Graph Labeling and Dimension Problems
article

Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu

Titin Sri Martini, Layinatu Khusniyatinna'im, Tri Tri Atmojo Kusmayadi
article en

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 .

Limits Journal of Mathematics and Its ApplicationsVol. 22(2)
Sebelas Maret University (ID)
Openalex Percentile: Top 80%
Graph Labeling and Dimension Problems
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