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 .
Authors
- Titin Sri Martini
- Layinatu Khusniyatinna'im
- Tri Tri Atmojo Kusmayadi
Institutions
- Sebelas Maret University (ID)
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