Article Per Year (5 Year)
p-Index From 2021 - 2026
5.515
P-Index
This Author published in this journals
All Journal Journal of the Indonesian Mathematical Society 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 Matematika UNAND 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 Perspectives in Mathematics and Applications (PERMATA)
Abdurahim, Abdurahim
Department Of Mathematics, Faculty Of Mathematics And Natural Sciences, Universitas Mataram, Indonesia
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation Other

Published : 44 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 44 Documents
Search

 1   2   3   4   5 
Delta Degree-Based Indices of Prime Coprime Graph for Integers Modulo Group Abdurahim; Romdhini, Mamika Ujianita; Qudsi, Jihadil; Al-Sharqi, Faisal; Rodzi, Zahari Md.
Science and Technology Indonesia Vol. 11 No. 1 (2026): January
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2026.11.1.10-18

Abstract

Research on prime coprime graphs of finite groups has largely focused on structural properties, spectra, and classical topological indices, with limited attention given to delta degree-based indices. To address this gap, this study investigates delta degree-based topological indices of the prime coprime graph constructed on the group of integers modulo n, Zn. In this graph, the vertices correspond to the elements of Zn, and two distinct vertices are adjacent if and only if the greatest common divisor of their orders is either 1 or a prime number. In the present work, the focus lies on computing and analyzing several delta degree-based topological indices that are obtained by incorporating the concept of delta degree into classical topological indices, including the delta first Zagreb index, the delta second Zagreb index, the delta hyper Zagreb index, and the delta forgotten index. The methodology involves deriving formulas for these delta-based indices for various values of n, supported by systematic computations and data tabulation. Beyond purely algebraic computation, statistical tools are employed to investigate the relationships between different indices. In particular, a comparative distribution analysis is conducted to determine whether pairs of indices exhibit similar patterns of variability using the Levene test.
Analisis teoritis indeks Hyper-Wiener dalam graf yang diturunkan dari struktur aljabar Abdurahim; Umam, Ashadul
Perspectives in Mathematics and Applications Vol 1 No 02 (2025): Desember
Publisher : Kreasi Pustaka Mandiri (Krestama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.66256/permata.v1i2.19

Abstract

The Hyper-Wiener index is a widely used topological descriptor that quantifies the structural complexity of graphs, particularly those arising from algebraic structures. This paper presents a structured synthesis of key theorems related to the Hyper-Wiener index in coprime graphs, non-coprime graphs, and power graphs constructed from the integer modulo group and the dihedral group. Adopting a systematic literature review approach, we compile and restate formal results, including explicit formulas and proven properties. Each theorem is analyzed in relation to the algebraic structure of its underlying group and the resulting graph topology. Our findings highlight how group-theoretic properties—such as order, operation, and element interactions—directly impact the Hyper-Wiener index. This paper is intended to support researchers by providing a conceptual bridge between group theory and topological graph theory, and by identifying potential directions for future work.
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 Adam Bachtiar Maulachela Agus Kurnia Agus Rahardi, Agus Ahmad Ahmad Al-Sharqi, Faisal 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 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 Rodzi, Zahari Md. 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 Umam, Ashadul 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