The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group

Autor: Marena Rahayu Gayatri, Nurhabibah Nurhabibah, Qurratul Aini, Zata Yumni Awanis, Salwa Salwa, I Gede Adhitya Wisnu Wardhana
Jazyk: English<br />Indonesian
Rok vydání: 2023
Předmět:
Zdroj: JTAM (Jurnal Teori dan Aplikasi Matematika), Vol 7, Iss 2, Pp 409-416 (2023)
Druh dokumentu: article
ISSN: 2597-7512
2614-1175
DOI: 10.31764/jtam.v7i2.13099
Popis: 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.
Databáze: Directory of Open Access Journals