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Journal : Jurnal Diferensial

The Topological Indices of Coprime Graph for Integer Module Group Abdurahim, Abdurahim; Awanis, Zata Yumni; Syechah, Bulqis Nebulla; Syaharuddin, Syaharuddin
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.14816

Abstract

This study delves into the fascinating realm of coprime graphs within the integer modulo group, revealing a fundamental property where these graphs manifest as star graphs when the order corresponds to a prime power. This pivotal insight, as elucidated by [1], plays a crucial role in the determination of topological indices for these graphs. The research culminates in the formulation of formulas for the First Zagreb index and the Second index of coprime graphs in the context of integer modulo groups, unveiled in the last two theorems. These numerical topological indices are poised to unveil intricate correlations among group elements, contingent upon their order, echoing the foundational principles of chemical graph theory. This exploration not only enriches our understanding of group structu.Coprime Graph
Co-Authors A. Munaya Rahman Abdillah Abdillah Abdillah Abdul Wahab Abdurahim, Abdurahim Abdurrahim Abdurrahim Agustang, Andi Agustina, Ella Ahmad Maulana Ahmodu, Abdul-Lateef Olamide Akhmad Fauzan Akhmad Munaya Rahman Aknifar Mawaddah Al Rifani, Ahmad Nurdin Al Wahid, Muhammad Ridho Alfiana Sahraini Ana Mahfuzah Anggeraeni, Anggeraeni Anita Lontaan Aqodiah, Aqodiah Arbainah Arbainah Ariando Salomon, Glendy Ariani, Zaenafi Ashraf, Sameer Astria Putri Ramadhani Aulia, Hartika Awaluddin Awaluddin Azizah, Intan Noor Bahjatul Mardhiyah Bahri, Alim Bambang Subiyakto Bambang Subiyakto Citriadin, Yudin Claudia Dwi Martina Deasy Arisanty Devi Lasdya Dewi Pramita Dewicca Fatma Nadilla, Dewicca Fatma Dhimas Pratama Nindya Putra Sari Diana Novita Sari Diana Novita Sari Dona Eka Lovianie Emelda Humaira Endang Rahmawati, Endang Eri Saswili Erlina Wiyanarti Ersis Warmansyah Abbas Ersis Warmansyah Abbas Ersis Warmansyah Abbas Fadugba, Sunday Emmanuel Farah Heniati Santosa, Farah Heniati Fardi, Fardi Fathul Jannah, Fathul Fathurrijal, Fathurrijal Fatmawati, Fatmawati Fatmawati, Tiara Fatwa Nur'aini Firmansyah, Yuman Fitri Mardiani Fitri Mardiyani Fredy Saputra, M. Khalid Furad, Abdul Gazali Rahman, Gazali Gilang Fahreza Gustini, Gustini Habib Ratu Perwira Negara Habibi Ratu Perwira Negara Hadi, Alfian Rahman Hadi, Noorya Tasya Febrylia Witari Hairunisa Hairunisa Har, Besse Harnanengsi Hasanah Hasanah Hasanah, Mahmudah Hassan, Muhammad Ikram bin Abu Hazrat Usman Mashwani Helmi Akmal Hendry Alfiani Ari Sandi Hendry Alfiani Ari Sandi Heri Susanto Heri Susanto Hermansyah Hermansyah Herry Porda Nugroho Putro Herry Porda Nugroho Putro Herry Suprajitno Hidayanti Hidayanti Hidayanti, Nur Fitri Hidayat Putera, M. Adhitya Husnan Husnan Husriani Husain Iddrisu, Mohammed Muniru Ilham Ilham Ina Eka Indriyani Indra Maulana Iqbal, Chaedyr Irfan, Fitriani Irma Dwina Irwan Misbach Ishanan, Ishanan Ismi Rajiani Istiqamah, Nurul Izzat Habib Jaka Wijaya Kusuma Jamaluddin Jamaluddin Jamaluddin Jamaluddin JAYA, IRFAN Jumriani Jumriani Jumriani Jumriani Jumriani Jumriani Jumriani Jumriani Jumriani, Jumriani Kadir, Amiruddin Kana, Mery Kiki Riska Ayu Kurniawati, Kiki Riska Ayu Lilis Suriani Linda Sari M Faisal M, Saripuddin M. Anugrah Arifin M. Restu Hidayat, M. Restu M. Ridha Ilhami M. Ridha Ilhami M. Ridha Ilhami Madinatul Munawarah Mahendra, Yusril Mahmudah Hasanah Mahmudah Mahmudah Mahsup, Mahsup Malik Ibrahim Mannawang, Annisa Ath-Thahirah Mappanyompa, Mappanyompa Mardiani, Fitri Mardiyah Hayati Mariono, Mariono Marlia Marlia Mattiro, Syahlan Maujud, Fathul Ma’nawiyah Ma’nawiyah Mehmood, Saba Meika Nurul Wahidah Melisa Prawitasari Mia Samihati Mohamad Zaenal Arifin Anis Muhammad Adhitya Hidayat Putra Muhammad Alfi Syahrin Muhammad Idkhan, Andi Muhammad Ilmi Muhammad Maulana Muhammad Nasih Muhammad Nur, Qalbia Muhammad Rezky Noor Handy Muhammad Rezky Noor Handy Muhammad Rezky Noor Handy Muhammad Rezky Noor Handy Muhammad Ridha Ilhami Muhammad Risalan Uzhma Muhammad Risalan Uzhma Muhirdan, Muhirdan Mukhlishin, Mukhlishin Muliana, Yulia Murliana Murliana Muslimin Kara Mutiani Mutiani Mutiani Mutiani Nadia Nadia Nadiatul Izmi Nadlatul Izmi Napolion, Kens NETTI KARIANI MENDOFA Nona Ayuriszki Noor Handy, M. Rezky Noorya Tasya Febrylia Witari Hadi Nova Yudha Andriansyah Putra Nur Azizah Nur Ikhsan, Muhammad Nurdyansa Nurhakim, Syanabiawan Maryati Nurjannah Nurjannah Nurkamilah Nurkamilah Nurlaelah Nurlaelah, Nurlaelah Nursahid Nursahid Nursahid Nursahid Nurul Fauziyah, Nurul Nurul Hasanah Nurul Hikmah Nur’aini, Fatwa Oktosiyanti MT. Abdullah, Oktosiyanti MT. Oktoviasari, Vera Ayu Prawitasari, Melisa Prayudha Aditya Puteri Mulyani Putri Yani Putro, Dwi Suryo Radjikan, Febrian Putra Anugrah Rahmad Rizaldi Ahya Rahman, Fadhli Rahmat Nur Rahmawati, Rahmawati Rahmia, Sovia Husni Raihanah Sari Raihanah Sari Rajiani, Ismi Rasyidah Olfah Raudhatul Jannah Raudhatul Jannah Firdaus Reski P Rezaldi, Mohammad Rizky Rezky, Amelia Rianti, Riski Anwar Ridha Fitriyani Ridha Ilhami, M. Ridho Hayati Rifdan . Rifqi Muhammad Ihsan Riski Norseli Risna Putra Pradana Rizkia Ananda Sari Rizky Martha Cahya Puspita Rochgiyanti Rusdi Rusma Noortyani Rusmainah Rusmainah Rusmaniah Rusmaniah Rusmaniah Rusmaniah Rusmaniah Rusmaniah Rusmaniah, Rusmaniah Saddam Saddam, Saddam Sahara, Ani Samiah Samiah Sapa, Nasrullah Bin Sarbaini Sarbaini Sigit Triyono Sirajuddin Sirajuddin Siti Maimunah Siti Masyithah Siti Rizayani Sriwati Sriwati Subiyakto, Bambang Sulis Setianingsih Suparman Suparman Suprapto Suprapto Syarifuddin Syarifuddin Syarifuddin Syarifuddin Tamur, Maximus Tri Damayanti, Tri Triyono, Sigit Ucok Harisman Harisman Berutu Usnul Khatimah Uswatun Nisa Utami Dewi, Siti Vera Mandailina, Vera Wanda Aprilla Widianti, Suciana Wijaya, Tommy Tanu Wijayanti, Yoga Tri Wikasari, Reni Winata, Atikah Wisnu Subroto Wiwi Musriana Yasriuddin, Yasriuddin Yudha Rizky Rawidafany Yunita Yunita Yustika Muliasari Yusup Yusup Z, Sahman Zata Yumni Awanis Zulkarnain Zulkifli, Mukaffi Zusana A Sasarari