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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 2597-7512 2614-1175 |