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All Journal Journal of the Indonesian Mathematical Society Science and Technology Indonesia Jurnal Pengabdian Magister Pendidikan IPA EIGEN MATHEMATICS JOURNAL Jurnal Matematika UNAND Square : Journal of Mathematics and Mathematics Education SPEKTA (Jurnal Pengabdian Kepada Masyarakat : Teknologi dan Aplikasi) Jurnal Ilmiah Abdi Mas TPB Unram Jurnal Pariwisata Nusantara Jurnal Pendidikan dan Pengabdian Masyarakat Sinergi dan Harmoni Masyarakat MIPA
Mamika Ujianita Romdhini, Mamika Ujianita
Universitas Mataram
Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Structural Properties and Reverse Topological Indices of Order GCD Graphs of Integers Modulo Ring Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maharani, Andika Ellena Saufika Hakim
Journal of the Indonesian Mathematical Society Vol. 32 No. 2 (2026): JUNE
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i2.2009

Abstract

The order GCD graph of a ring, having the ring elements as the vertex set, and two distinct vertices are adjacent if and only if the greatest common divisor (gcd) of the order of both vertices is equal to the order of the product of these two vertices in the ring. This paper aims to analyze the reverse Sombor, Randić, and Harmonic indices of the order GCD graph where the set of vertices is integers modulo ring elements. The results provide new insights into the mathematical properties of reverse topological indices and their potential applications.
INDEKS WIENER PADA GRAF KOPRIMA PRIMA DARI GRUP BILANGAN BULAT MODULO Abdurahim, Abdurahim; PRATIWI, LIA FITTA; KARANG, GUSTI YOGANANDA; WARDHANA, I GEDE ADHITYA WISNU; ROMDHINI, MAMIKA UJIANITA
Jurnal Matematika UNAND Vol. 15 No. 2 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.2.249-258.2026

Abstract

Graf Koprima Prima merupakan graf yang mana sebarang dua simpul berbeda dikatakan bertetangga jika dan hanya jika Faktor Persekutuan terbesar (FPB) dari order kedua simpul sama dengan 1 atau prima. Penelitian ini bertujuan untuk mengkaji subgraf serta rumus umum dari indeks Wiener dan Hyper-Wiener pada graf koprima prima dari grup bilangan bulat. Dari penelitian ini didapatkan bahwa subgraf yang terbentuk adalah graf lengkap dan bipartit. Selain itu, diperoleh juga rumus umum indeks Wiener dan Hyper-Wiener. Lebih jauh, nilai dari indeks Hyper-Wiener kurang dari dua kali indeks Wiener.
Co-Authors Abdurahim, Abdurahim Al Paqih, Muhammad Imam Al-Quran, Ashraf Al-Sharqi, Faisal Awanis, Zatta Yumni Baldovini, Nicolas Davina Puspa Ningrum Dhony Hermanto Dira Agnita Putri Widodo Dwi Yan Resilia ERNIN HIDAYATI Fajria, Septi Farwan, Farwan Ghina Briliana Fatin Octariana Graha, Syifa Salsabila Satya Hardi, Rida Akausar Hidayatullah, Halilintar Nur I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Ito, Michiho Julisaniah, Nur Indah Karang, Gusti Yoga Nanda Karang, Gusti Yogananda Kurniasih Sukenti Lely Kurniawati Lena Yuliastini Maharani, Andika Ellena Saufika Hakim Mariana, Baiq Marliadi Susanto Maulana, Fariz Muhammad Taufan Muktasam Nadia, Ahsanu Nawawi, Athirah Ni Wayan Switrayni Nugroho, M. Setyo Nurkurnia Sari Nurul Ismillayli Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Puspita Dewi, Chandra Putra, Lalu Riski Wirendra Putri, Syaftirridho Qudsi, Jihadil Raden Mohammad Akbar Rafi Rahman, Muhammad Rizki Rio Satriyantara Rizki Faturrahman Rodzi, Zahari Md. Rossy Jamalul Hoir Saprini Hamdiani Siboro, Ayes Malona Siti Raudhatul Kamali Sugiarto, Kurniawan Sunarwidhi , Anggit Listyacahyani Takamatsu, Sakura Tri Mulyaningsih Wahidah, Fathul Maulina Wardhana, I Gede Adhiya Wisnu Wardhani, Krissinta Bulan Wirahadi, Ahmad Yanagisawa, Masayuki Yumi, Fujiwara Zata Yumni Awanis