The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group
Graph theory can give a representation of abstract mathematical systems such as groups or rings. We have many graph representations for a group, in this study we use the coprime graph representation for a generalized quaternion group to find the numerical invariants of the graph, which are the cliqu...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Universitas Muhammadiyah Mataram
2023-04-01
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| Series: | JTAM (Jurnal Teori dan Aplikasi Matematika) |
| Subjects: | |
| Online Access: | http://journal.ummat.ac.id/index.php/jtam/article/view/13099 |
| _version_ | 1797834934284451840 |
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| author | Marena Rahayu Gayatri Nurhabibah Nurhabibah Qurratul Aini Zata Yumni Awanis Salwa Salwa I Gede Adhitya Wisnu Wardhana |
| author_facet | Marena Rahayu Gayatri Nurhabibah Nurhabibah Qurratul Aini Zata Yumni Awanis Salwa Salwa I Gede Adhitya Wisnu Wardhana |
| author_sort | Marena Rahayu Gayatri |
| collection | DOAJ |
| description | Graph theory can give a representation of abstract mathematical systems such as groups or rings. We have many graph representations for a group, in this study we use the coprime graph representation for a generalized quaternion group to find the numerical invariants of the graph, which are the clique number and the chromatic number. The main results obtained from this study are the clique number of the coprime graph representation for the generalized quaternion group is equal to the chromatic number of the coprime graph representation for the generalized quaternion group for each case of the order. |
| first_indexed | 2024-04-09T14:46:30Z |
| format | Article |
| id | doaj.art-454ff03e44da4d08bbd30792e6c4ceff |
| institution | Directory Open Access Journal |
| issn | 2597-7512 2614-1175 |
| language | English |
| last_indexed | 2024-04-09T14:46:30Z |
| publishDate | 2023-04-01 |
| publisher | Universitas Muhammadiyah Mataram |
| record_format | Article |
| series | JTAM (Jurnal Teori dan Aplikasi Matematika) |
| spelling | doaj.art-454ff03e44da4d08bbd30792e6c4ceff2023-05-02T14:48:43ZengUniversitas Muhammadiyah MataramJTAM (Jurnal Teori dan Aplikasi Matematika)2597-75122614-11752023-04-017240941610.31764/jtam.v7i2.130996335The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion GroupMarena Rahayu Gayatri0Nurhabibah Nurhabibah1Qurratul Aini2Zata Yumni Awanis3Salwa Salwa4I Gede Adhitya Wisnu Wardhana5Department of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityDepartment of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityDepartment of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityDepartment of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityDepartment of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityDepartment of Mathematics, Faculty of Mathematics and Natural Science, Mataram UniversityGraph theory can give a representation of abstract mathematical systems such as groups or rings. We have many graph representations for a group, in this study we use the coprime graph representation for a generalized quaternion group to find the numerical invariants of the graph, which are the clique number and the chromatic number. The main results obtained from this study are the clique number of the coprime graph representation for the generalized quaternion group is equal to the chromatic number of the coprime graph representation for the generalized quaternion group for each case of the order.http://journal.ummat.ac.id/index.php/jtam/article/view/13099clique numberchromatic numbercoprime graphgeneralized quaternion group. |
| spellingShingle | Marena Rahayu Gayatri Nurhabibah Nurhabibah Qurratul Aini Zata Yumni Awanis Salwa Salwa I Gede Adhitya Wisnu Wardhana The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group JTAM (Jurnal Teori dan Aplikasi Matematika) clique number chromatic number coprime graph generalized quaternion group. |
| title | The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group |
| title_full | The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group |
| title_fullStr | The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group |
| title_full_unstemmed | The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group |
| title_short | The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group |
| title_sort | clique number and the chromatics number of the coprime graph for the generalized quarternion group |
| topic | clique number chromatic number coprime graph generalized quaternion group. |
| url | http://journal.ummat.ac.id/index.php/jtam/article/view/13099 |
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