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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

 1 
The Clique Number and The Chromatics Number Of The Coprime Graph for The Generalized Quarternion Group Gayatri, Marena Rahayu; Nurhabibah, Nurhabibah; Aini, Qurratul; Awanis, Zata Yumni; Salwa, Salwa; Wardhana, I Gede Adhitya Wisnu
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.
Co-Authors Abd Kadir, Mujtahid Bin Abdurahim, Abdurahim AGUS KURNIA Aminuyati Anwar Mustofa Aribuabo, Anie Faye M. Asmarani, Evi Yuniartika Aulia, Sita Armi Ayu Liskinasih Choirunnisa, Fajarani Elmustian Rahman Endang Rahmawati, Endang Fathurrijal, Fathurrijal Febriansyah, Dwi Fitri Wulandari Fitriah Handayani Fitrya Ramadhani Gayatri, Marena Rahayu Haizar, Maulana Rifky Harsyiah, Lisa Hermuttaqien, Bhakti Prima Findiga Hesti Aulia Ananda Hidayat, Malik Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Kusuma, Shendy Arya Lailia Awalushaumi Lailia Awalushaumi, Lailia Latri Aras, Latri Lestari, Sahin Two Maharani, Andika Ellena Saufika Hakim Mardiah , Ainun Marwan Marwan Misuki, Wahyu Ulyafandhie Muhammad Rijal Alfian Nghiem, Nguyen Dang Hoa Nurhabibah Nurhabibah Nurina Hidayah Onida Sinaga, Mawarta Pradana, Satriawan Purnamasari, Dara Putra, Lalu Riski Wirendra Qudsi, Jihadil Qurratul Aini Ramadhan, Hikmal Maulana Ridia Juwita Dewi Rio Satriyantara Riskon Ginting Rizka Fadillah Rizki, Miptahul Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Sari, Nena Puspita Satryantara, Rio Setiawati, Geta Siti Muawanah Sri Sumarmi Suhadah Suhadah, Suhadah Sulaiman, Raden Muhamad Suprapmanto, Joko Syamsidar Gaffar Syamsul Bahri Syechah, Bulqis Nabula Tri Maryono Rusadi Wardana, I Gede Adhitya Wisnu Widhi Sugianingsih, Ni Made yathroh, Isry Laila Yumni Awanis, Zata Yuni Sulistyowati, Yuni Yusron Saudi Zata Yumni Awanis Zikri, Lalu Muhammad Faiz