The Dominant Metric Dimension of Corona Product Graphs

Authors

Rembulan Putri Adirasari, Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.Follow
Herry Suprajitno, Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.Follow
Liliek Susilowati, Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.Follow

Abstract

The metric dimension and dominating set are the concept of graph theory that can be developed in terms of the concept and its application in graph operations. One of some concepts in graph theory that combine these two concepts is resolving dominating number. In this paper, the definition of resolving dominating number is presented again as the term dominant metric dimension. The aims of this paper are to find the dominant metric dimension of some special graphs and corona product graphs of the connected graphs �� and ��, for some special graphs ��. The dominant metric dimension of �� is denoted by ��������(��) and the dominant metric dimension of corona product graph �� and �� is denoted by ��������(��⨀��).

Keywords

Corona product graph, Dominant metric dimension, Metric dimension, Resolving dominating number

Article Type

Article

How to Cite this Article

Adirasari, Rembulan Putri; Suprajitno, Herry; and Susilowati, Liliek (2021) "The Dominant Metric Dimension of Corona Product Graphs," Baghdad Science Journal: Vol. 18: Iss. 2, Article 20.
DOI: https://doi.org/10.21123/bsj.2021.18.2.0349