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All Journal Jurnal Teknologi Informasi dan Ilmu Komputer Jurnal SIMADA (Sistem Informasi dan Manajemen Basis Data) Jaqfi : Jurnal Aqidah dan Filsafat Islam Science and Technology Indonesia BAREKENG: Jurnal Ilmu Matematika dan Terapan Beta: Jurnal Tadris Matematika JURNAL SILOGISME : Kajian Ilmu Matematika dan Pembelajarannya EIGEN MATHEMATICS JOURNAL Jurnal Teknologi Informasi dan Multimedia Imajiner: Jurnal Matematika dan Pendidikan Matematika Mandalika Mathematics and Educations Journal Square : Journal of Mathematics and Mathematics Education Contemporary Mathematics and Applications (ConMathA) Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Diferensial Jurnal Pepadu Bakti Sekawan : Jurnal Pengabdian Masyarakat Basis : Jurnal Ilmiah Matematika Jurnal Sains Natural Jurnal Pengabdian Masyarakat Sehati Sasambo: Jurnal Abdimas (Journal of Community Service) Sinergi dan Harmoni Masyarakat MIPA JARI : Jurnal Akuakultur Rawa Indonesia
Abdurahim, Abdurahim
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences, Universitas Mataram, Indonesia
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Journal : Contemporary Mathematics and Applications (ConMathA)

 1 
Molecular Topology Index of a Zero Divisor Graph on a Ring of Integers Modulo Prime Power Order Satriawan, Didit; Aini, Qurratul; Abdurahim; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu
Contemporary Mathematics and Applications (ConMathA) Vol. 6 No. 2 (2024)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v6i2.54737

Abstract

In chemistry, graph theory has been widely utilized to address molecular problems, with numerous applications in graph theory and ring theory within this field. One of these applications involves topological indices that represent chemical structures with numerical values. Various types of topological indices exist, including the Wiener index, the first Zagreb index, and the hyper-Wiener index. In the context of this research, the values of the Wiener index, the first Zagreb index, and the hyper-Wiener index for zero-divisor graphs on the ring of integers modulo a prime power order will be explored through a literature review and conjecture.
The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring Ambar, Jinan; I Gede Adhitya Wisnu Wardhana; Abdurahim
Contemporary Mathematics and Applications (ConMathA) Vol. 7 No. 1 (2025)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v7i1.63517

Abstract

The zero-divisor graph of a commutative ring is a graph where the vertices represent the zero-divisors of the ring, and two distinct vertices are connected if their product equals zero. This study focuses on determining general formulas for the Szeged index and the Padmakar-Ivan index of the zero-divisor graph for specific commutative rings. The results show that for the first case of ring, the Szeged index is exactly half of the Padmakar-Ivan index. For the second case, the Szeged index is consistently greater than the Padmakar-Ivan index. These findings enhance the understanding of how the algebraic structure of rings influences the topological properties of their associated graphs.
Co-Authors Adam Bachtiar Maulachela Agus Kurnia Agus Rahardi, Agus Ahmad Ahmad Ambar, Jinan Anas, Andy Sofyan Asmaul Husna RS Awanis, Zatta Yumni Ayes Malona Siboro Baihaqi, Muhamad Adzib Biyas Ola Tafakkur Chern, Jann-Long Choirunnisa, Fajarani Dian Syafitri Chani Saputri Fadhilah, Rifdah Faiqotul Mala Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Gayatri, Marena Rahayu Ghoffari, Lalu Hasan Graha, Syifa Salsabila Satya Gusti Ayu Made Arna Putri Gusti Yogananda Karang Habib Ratu Perwira Negara Hapsari, Mufidatul Ghina Harsyiah, Lisa Hendriana, Andri Hernawan, Systa Ambar Wangi Hidayat, Malik Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Irwansyah Irwansyah Iskandar, Andri Isnaini Rosyida, Isnaini Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi Lailia Awalushaumi, Lailia Lalu Puji Indra Kharisma Lalu Riski Wirendra Putra Lestari, Sahin Two Lia Fitta Pratiwi Maharani, Andika Ellena Saufika Hakim Mamika Ujianita Romdhini Mamika Ujianita Romdhini Mamika Ujianita Romdhini, Mamika Ujianita Marwan Marwan Maulana, Fariz Meiliza Muhammad Rijal Alfian MUHAMMAD TAJUDDIN Nurjoko Permata, Reny Amalia Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Primajati, Gilang Putra, Lalu Riski Wirendra Putri, Syaftirridho Qudsi, Jihadil Qurratul Aini Ramadhan, Hikmal Maulana Ramadhani, Dian Eka Rendi Bahtiar Pratama Reny Amalia Permata Rezky Ramdhaningsih Rio Satriyantara Rizal, Ahmad Ashril Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Roushandy Asri Sahidin, Amir Salwa Salwa Satriawan Pradana Satriawan, Didit Satryantara, Rio Siboro, Ayes Malona Siti Muawanah Siti Raudhatul Kamali Sri Rahmawati Syafitri, Hanna Syaftirridho Putri Syaharuddin Syahroni Hidayat Syaidatussalihah Syaidatussalihah Syamsul Bahri Syechah, Bulqis Nabula Syifa Salsabila Satya Graha Tri Maryono Rusadi Veithzal Rivai Zainal Wahidah, Fathul Maulina Wahyudi, Imam Tri Wardana, I Gede Adhitya Wisnu Wardhana, I Gede Adhiya Wisnu Yumni Awanis, Zata Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara