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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of the Indonesian Mathematical Society JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan EIGEN MATHEMATICS JOURNAL InPrime: Indonesian Journal Of Pure And Applied Mathematics JPIn : Jurnal Pendidik Indonesia International Journal of Research in Community Services Operations Research: International Conference Series International Journal of Global Operations Research Evolusi: Journal of Mathematics and Natural Sciences MATHunesa: Jurnal Ilmiah Matematika Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Pengabdian Inovasi Masyarakat Indonesia
Abdul Gazir Syarifudin
Universitas Kebangsaan Republik Indonesia
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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COMPUTATIONAL ANALYSIS OF TOPOLOGICAL INDICES ON POWER GRAPHS OF MODULO PRIME POWER GROUPS USING PYTHON Rabbelia Tri Qudrani; Tri Maryono Rusadi; I Gede Adhitya Wisnu Wardhana; Abdul Gazir Syarifudin
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 03 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v13n3.p459-465

Abstract

This study uses Python to calculate and analyze three indices such as the first Zagreb, Wiener, and Gutman indices on the rank graph of the group modulo the power of a prime number. It relies on formulas that have been developed by previous research. By using Python libraries such as NetworkX, Matplotlib, and Tkinter, the calculation process becomes more efficient and allows visualization of index variations based on changes in the values of prime p and exponent k. The results show that the values of the three indices increase as the values of p and k increase, reflecting the increasing complexity of the graph structure. At large values of p and k, the graph visualization is too complex which causes the graph visualization to be less clear. This approach proves to be effective in supporting visual and quantitative exploration of algebraic structures.
Coprime Degree of a Finite Group Abdul Gazir Syarifudin; Ahmad Muchlis; Pudji Astuti
Journal of the Indonesian Mathematical Society Vol. 32 No. 3 (2026): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i3.2073

Abstract

The coprime probability of a finite group has been defined, and the coprime probability of a p-group for any prime number p has also been obtained. In this paper, we refine the concept by introducing the coprime degree of a finite group. We calculate the coprime degrees of cyclic groups, nilpotent groups, dihedral groups, and general quaternion groups.
Co-Authors Agustin, Nemia Ahmad Muchlis Amelia, Rika Bawana, Agista Surya Chairunnisa, Nadine Zahra Dara Purnamasari Dara Puspita Anggraeni Evi Yunartika Asmarani Evi Yuniartika Asmarani Evi Yuniartika Asmarani Febrilia, Baiq Rika Ayu Gayatri, Marena Rahayu Ghoffari, Lalu Hasan Hidayana, Rizki Apriva Husni, Muhammad Naoval I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Khan, Muhammad Fardeen Kholipah, Nenden Siti Nur Malik, Deny Putra Manuela, Angellyca Leoni Masriani Masriani Maulana, Fariz Megantara, Tubagus Robbi Mulyo, Lukman Widoyo Nenden Siti Nurkholipah, Nenden Siti Ni Wayan Switrayni Nurhabibah Nurhabibah Nurhabibah Nurhabibah Pudji Astuti Putra, Lalu Riski Wirendra Putu Kartika Dewi Qonita, Niswah Qurratul Aini Qurratul Aini Rabbelia Tri Qudrani Rina Juliana Sahin Two Lestari Salwa Salwa Siboro, Ayes Malona Syafitri, Hanna Tri Maryono Rusadi Widiastuti, Ratna Sari Wijaya, Verrel Rievaldo Yeni Susanti Yuningsih, Siti Hadiaty Zata Yumni Awanis