The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group
Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph. A power graph of the group G is defined as a graph whose vertex set is all elements of G and...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2023-05-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16991 |
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| author | Evi Yuniartika Asmarani Sahin Two Lestari Dara Purnamasari Abdul Gazir Syarifudin Salwa Salwa I Gede Adhitya Wisnu Wardhana |
| author_facet | Evi Yuniartika Asmarani Sahin Two Lestari Dara Purnamasari Abdul Gazir Syarifudin Salwa Salwa I Gede Adhitya Wisnu Wardhana |
| author_sort | Evi Yuniartika Asmarani |
| collection | DOAJ |
| description | Research on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph. A power graph of the group G is defined as a graph whose vertex set is all elements of G and two distinct vertices a and b are adjacent if and only if or for a positive integer and . In addition to mathematics, graph theory can be applied to various fields of science, one of which is chemistry, which is related to topological indices. In this study, the topological indexes will be discussed, namely the Zagreb index, the Wiener index, and the Gutman index of the power graph of the dihedral group where with prime numbers and an natural number. The method used in this research is a literature review. The results obtained from this study are the first Zagreb index, Wiener index, and Gutman index of the power graph of the dihedral group where where is prime and an m natural number respectively is . |
| format | Article |
| id | doaj-art-2e02ef9bad10448ebdc3d09a406eded3 |
| institution | OA Journals |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-2e02ef9bad10448ebdc3d09a406eded32025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442023-05-017451352010.18860/ca.v7i4.169917011The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral GroupEvi Yuniartika Asmarani0Sahin Two Lestari1Dara Purnamasari2Abdul Gazir Syarifudin3Salwa Salwa4I Gede Adhitya Wisnu Wardhana5University of MataramUniversity of MataramUniversity of MataramInstitut Teknologi BandungUniversity of MataramUniversity of MataramResearch on graphs combined with groups is an interesting topic in the field of combinatoric algebra where graphs are used to represent a group. One type of graph representation of a group is a power graph. A power graph of the group G is defined as a graph whose vertex set is all elements of G and two distinct vertices a and b are adjacent if and only if or for a positive integer and . In addition to mathematics, graph theory can be applied to various fields of science, one of which is chemistry, which is related to topological indices. In this study, the topological indexes will be discussed, namely the Zagreb index, the Wiener index, and the Gutman index of the power graph of the dihedral group where with prime numbers and an natural number. The method used in this research is a literature review. The results obtained from this study are the first Zagreb index, Wiener index, and Gutman index of the power graph of the dihedral group where where is prime and an m natural number respectively is .https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16991first zagreb indexwinner indexgutman indexpower graphdihedral group |
| spellingShingle | Evi Yuniartika Asmarani Sahin Two Lestari Dara Purnamasari Abdul Gazir Syarifudin Salwa Salwa I Gede Adhitya Wisnu Wardhana The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group Cauchy: Jurnal Matematika Murni dan Aplikasi first zagreb index winner index gutman index power graph dihedral group |
| title | The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group |
| title_full | The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group |
| title_fullStr | The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group |
| title_full_unstemmed | The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group |
| title_short | The First Zagreb Index, The Wiener Index, and The Gutman Index of The Power of Dihedral Group |
| title_sort | first zagreb index the wiener index and the gutman index of the power of dihedral group |
| topic | first zagreb index winner index gutman index power graph dihedral group |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16991 |
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