The Central Metric Dimension of the 𝒌-Corona Graph

  • Liliek Susilowati Department of Mathematics Universitas Airlangga
  • Anis Nur Fitria Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga
  • Inna Kuswandari Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga
  • Savari Prabhu Department of Mathematics, Rajalakshmi Engineering College (Autonomous)
  • Darmaji Institut Teknologi Sepuluh Nopember (ITS) Surabaya
DOI: https://doi.org/10.19139/soic-2310-5070-2826
Keywords: Central Set, Metric Dimension, Central Metric Dimension, k-Corona Graph, Accessible Transportation

Abstract

The metric dimension is the minimum cardinality of a subset of the vertex set of a graph  that uniquely represents each vertex in a graph. The central set is a set of vertices with minimum eccentricity. This central set concept can be used to determine strategic public service locations, such that accessible transportation can be reached from all regions. The central metric dimension is the minimum cardinality of a resolving set that includes the central set. This study aims to determine the central metric dimension in k-corona graph. The k-corona operation of  G and H  denoted by GoH is a generalization of the corona operation, where a new graph is formed by connecting each vertex of a graph G to k  copies of graph H. The results show that the central metric dimension of the k-corona graph depends on the central set of G , the order of G , the value of k, and the metric dimension of H .
Published
2025-11-17
How to Cite
Liliek Susilowati, Nur Fitria, A., Kuswandari, I., Prabhu, S., & Darmaji. (2025). The Central Metric Dimension of the 𝒌-Corona Graph. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2826
Issue
Online First
Section
Research Articles
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