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Numerical Invariants Of Nilpotent Graphs In Integer Modulo Rings Malik, Deny Putra; Karang, Gusti Yogananda; Aini, Qurratul; Maulana, Fariz; Satriyantara, Rio
Contemporary Mathematics and Applications (ConMathA) Vol. 7 No. 2 (2025)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v7i2.69650

Abstract

Graph theory offers a robust framework for examining algebraic structures, especially rings and their elements. This paper focuses on the nilpotent graph of rings of the form Zpk​, where p is a prime and k∈N, investigating both their structural and numerical properties. We begin by characterizing the nilpotent elements in these rings and examining their relationship to ring ideals. The study then presents theoretical results on key graph invariants, including connectivity, chromatic number, clique number, and specific subgraph configurations. To complement these, we also analyze numerical invariants such as edge count and degree distribution, which reveal deeper connections between ring-theoretic and graph-theoretic properties. Our results highlight consistent structural patterns in nilpotent graphs of Zpk ​and provide a concrete contribution to algebraic graph theory by bridging properties of commutative rings and their associated graphs.
Indeks Sombor dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Satriyantara, Rio; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu; Robbaniyyah, Nuzla Af’idatur
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.21120

Abstract

The prime coprime graph of integers modulo n is an ordered pair consisting of a set of vertices (integers modulo n) and edges. Two distinct vertices are said to be adjacent if the greatest common divisor (gcd) of their orders is either 1 or a prime number. This article discusses the prime coprime graph of integers modulo n for n = pq, where p < q are prime numbers. The results of the study include the degree characteristics of the vertices and the subgraphs formed. Additionally, the Sombor index of the graph is also determined.
Peran Penting Software Quality Assurance Dalam Pengembangan Aplikasi Respiar, Boby; Fernanda, Arif; Taryadi, Taryadi; Maulana, Fariz; Anshor, Abdul Halim
Journal Scientific of Mandalika (JSM) e-ISSN 2745-5955 | p-ISSN 2809-0543 Vol. 5 No. 12 (2024)
Publisher : Institut Penelitian dan Pengembangan Mandalika Indonesia (IP2MI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36312/10.36312/vol5iss12pp535-540

Abstract

Software Quality Assurance (SQA) has an important role in application development, specifically to ensure quality, reliability, and end-user satisfaction. This study aims to explore the role of SQA in improving the quality of applications through the application of effective standards and testing methods. By implementing SQA, potential errors can be detected early, reducing the risk and costs that may occur due to software defects. This study uses a qualitative approach through literature studies and interviews with IT professionals to gain a deeper understanding of the impact of SQA on the development process. The results show that SQA not only improves the quality of the final product but also improves the efficiency of the development team. Therefore, the implementation of SQA should be an inseparable component in every stage of application development.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Artificial Intelligence Techniques For Predicting Pandemic Diseases: Systematic Literature Review Maulana, Fariz; Marina, Marina; Pontoh, Abdul Haris; Sudirman, Sudirman; Yani, Ahmad
Jurnal Ilmiah Manusia Dan Kesehatan Vol. 9 No. 2 (2026): Jurnal Ilmiah MANUSIA DAN KESEHATAN
Publisher : FAKULTAS ILMU KESEHATAN UNIVERSITAS MUHAMMADIYAH PAREPARE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31850/makes.v9i2.4355

Abstract

The rapid emergence of global pandemics necessitates accurate and adaptive predictive systems to support public health decision-making. This study aims to systematically review Artificial Intelligence techniques for predicting pandemic diseases and to evaluate the methodological quality and potential bias of existing empirical research. The research employed a Systematic Literature Review approach guided by PRISMA, with database searches conducted in Scopus, Web of Science, ScienceDirect, and Google Scholar. The selection process yielded ten empirical quantitative and qualitative studies, which were assessed using the Joanna Briggs Institute critical appraisal criteria to evaluate methodological rigor and risk of bias. The findings indicate that machine learning, deep learning, and transformer-based architectures achieve high predictive accuracy in forecasting infection probability, disease severity, and epidemic trends. Most studies demonstrated robust validation strategies, including cross-validation and clearly reported performance metrics. Nevertheless, recurring limitations such as data bias, limited population generalizability, and temporal bias remain significant methodological challenges in AI-based pandemic prediction research. Overall, Artificial Intelligence techniques demonstrate substantial potential in strengthening global pandemic preparedness and enhancing evidence-based public health responses.
Hyper-Wiener and Harary Indices of The Line Graph of Zero Divisor Graph For Integer Modulo Ring Fariz Maulana; I Gede Adhitya Wisnu Wardhana
Jurnal Matematika, Statistika dan Komputasi Vol. 22 No. 3 (2026): May 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v22i3.48758

Abstract

This paper studies the line graph of the zero divisor graph of the ring Z_(P^n ), where p is a prime and n is a natural number. The main objective is to compute closed formulas for the Hyper–Wiener and Harary indices of the line graph L(〖ΓZ〗_(P^n ) ) and to analyze their relationship with the first Zagreb index of the original graph ΓZ_(P^n ). The results establish connections between structural properties of the zero divisor graph and those of its corresponding line graph, offering a deeper understanding of interactions among degree-based and distance-based topological indices.