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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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2021-06-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5039 |
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| author | Rembulan Putri Adirasari Herry Suprajitno Liliek Susilowati |
| author_facet | Rembulan Putri Adirasari Herry Suprajitno Liliek Susilowati |
| author_sort | Rembulan Putri Adirasari |
| collection | DOAJ |
| description | 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 . |
| format | Article |
| id | doaj-art-a1c541b2ff8149f78ce14fad599e6dd1 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-a1c541b2ff8149f78ce14fad599e6dd12025-08-20T03:56:58ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862021-06-0118210.21123/bsj.2021.18.2.0349The Dominant Metric Dimension of Corona Product GraphsRembulan Putri Adirasari0Herry Suprajitno1Liliek Susilowati2Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.Mathematics Department, Science and Technology Faculty, Universitas Airlangga, Jl. Mulyorejo, Surabaya, Indonesia.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 .https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5039Metric Dimension, Corona Product Graph, Resolving Domination Number, Dominant Metric Dimension |
| spellingShingle | Rembulan Putri Adirasari Herry Suprajitno Liliek Susilowati The Dominant Metric Dimension of Corona Product Graphs مجلة بغداد للعلوم Metric Dimension, Corona Product Graph, Resolving Domination Number, Dominant Metric Dimension |
| title | The Dominant Metric Dimension of Corona Product Graphs |
| title_full | The Dominant Metric Dimension of Corona Product Graphs |
| title_fullStr | The Dominant Metric Dimension of Corona Product Graphs |
| title_full_unstemmed | The Dominant Metric Dimension of Corona Product Graphs |
| title_short | The Dominant Metric Dimension of Corona Product Graphs |
| title_sort | dominant metric dimension of corona product graphs |
| topic | Metric Dimension, Corona Product Graph, Resolving Domination Number, Dominant Metric Dimension |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5039 |
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