Marena Rahayu Gayatri
Department of Mathematics, Faculty of Mathematics and Natural Science, Mataram University

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The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group Marena Rahayu Gayatri; Nurhabibah Nurhabibah; Qurratul Aini; Zata Yumni Awanis; Salwa Salwa; I Gede Adhitya Wisnu Wardhana
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.13099

Abstract

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.