The Dominant Metric Dimension of Corona Product Graphs

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 resolvi...

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Bibliographic Details
Main Authors: Rembulan Putri Adirasari, Herry Suprajitno, Liliek Susilowati
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2021-06-01
Series:مجلة بغداد للعلوم
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5039
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Summary: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 G and H is denoted by .
ISSN:2078-8665
2411-7986