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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

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 , Irwansyah, , ,, MUARDI - . Azmeri, . Abd. Rasyid Syamsuri Abdulamir, Mohammed Abdurahim, Abdurahim Abdussakir Abdussakir Adamy, Aulina Afandi, Rizal AGUS KURNIA Aidina, Faiza Ambarwati, Ari Arisda Candra Satriawati Asbi, Asbi Baiq Yuliana Rizkiwati Budi, Irwan Setia Choirunnisa, Fajarani Danasti, Zulfa Nadia Daniel Happy Putra Delah, Laila Himni Deviani, Fitri Dwi Putranto, Ega Dzakiyullah, Nur Rachman Eko Mulyadi Eldina Fatimah Elmagboul, Abdallah Elsye Maria Rosa Ernawati, Eli Farhana Muhammad Gayatri, Marena Rahayu haji, Iwan Haris, Ananda Hariyadi, Ilham Harsyiah, Lisa Hasibuan, M Fauzi Hayatulla Hidayat, Malik Husainah, Nazifah Husnawati Husni, Muhammad Naoval Huzain Jailani I Gede Adhitya Wisnu Wardhana Irawan, Wahyu Hengky Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lata, Nandha Waldana Lawwamah, Tamsilul Lestari, Sri Lisa Maharani Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Marwan Marwan Maulana, Fariz Maulidy, Muhammad Meillyta, Meillyta Merkusi, Sweetina Miranda, Mega Mispandi Muchtar, M Ilham Muhamad Juaini Muhammad Rijal Alfian Ni Wayan Switrayni Nur Hidayah Nurcahyanto, Aditiya Nurhabibah Nurhabibah Nuro Sholihah Oktavia, Putri Dwi Patoni, Anjazal Pazeth, Naufal Sulthana Pazira, Era Pebrianti, Ruli Pradana, Satriawan Pratiwi, Witri Andi PURNAMASARI, NUR ASMITA Putra, Lalu Riski Wirendra Putranto, Ega Dwi Ramadhan, Hikmal Maulana Ramdani, Dheta Alvina Ratri, Ayuningtyas Dewi Rio Satriyantara Riswanto, Agus Rizqiwati, Baiq Yuliana Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rosidayani, Febby Rozikin, Muh Sajuri, Sajuri Salwa Salwa Sari, Hajar Fatma Satriawan, Didit Shobastian, Wahyu Derajat Siboro, Ayes Malona Subiyanto, Totok Sumarwanto, Edi Sundari, Sri Syafitri, Hanna Syamsul Bahri Syechah, Bulqis Nabula Tabarok, Moh Tri Maryono Rusadi Wardana, I Gede Adhitya Wisnu Wastuti, Sri Ngayomi Yudha Wijayanti, Kusumaningrum Wilda Al Aluf, Wilda Al Zainal Abidin Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zikriatunniza, Zikriatunniza Zulhirsan, Lalu