Pusat Publikasi Ilmiah

PPI
September 26, 2025 13:09

Dimensi Metrik pada Graf Bintang Kipas dan Graf Bunga Sepatu

Oleh : itspublikasi | | Source : -
  • Layinatu Khusniyatinna’imUniversitas Sebelas Maret
  • Tri Tri Atmojo KusmayadiUniversitas Sebelas Maret
  • Titin Sri MartiniUniversitas Sebelas Maret

DOI:

https://doi.org/10.12962/limits.v22i2.3455

Keywords:

metric dimension, resolving set, basis, fan star graph, hibiscus graph

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 .
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