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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Journal of the Indonesian Mathematical Society JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Unisda Journal of Mathematics and Computer Science (UJMC) EIGEN MATHEMATICS JOURNAL Jurnal Ilmiah Manusia dan Kesehatan Contemporary Mathematics and Applications (ConMathA) JOURNAL SCIENTIFIC OF MANDALIKA (JSM) Journal of Coastal and Ocean Sciences Jurnal Diferensial Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Pepadu Jurnal Pengabdian Inovasi Masyarakat Indonesia Sinergi dan Harmoni Masyarakat MIPA
Maulana, Fariz
Department Of Mathematics, Universitas Mataram, Indonesia
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation Other

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Journal : contemporary mathematics and applications conmatha

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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.
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.
Co-Authors Abdul Gazir Syarifudin Abdul Halim Anshor Abdurahim, Abdurahim Afdhaluzzikri, M. ahmad yani Alimon, Nur Idayu Ayes Malona Siboro Biswas, Hena Rani Dina Eka Putri Dwi Noorma Putri Farwan, Farwan Fernanda, Arif Graha, Syifa Salsabila Satya Hijriati, Naimah I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Irwansyah Irwansyah Jurnal Pepadu Karang, Gusti Yogananda Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Malik, Deny Putra Mamika Ujianita Romdhini Marina Marina Mubarak Mubarak Muhammad Naoval Husni Muhammad Rijal Alfian Ni Wayan Switrayni Nur Asmita Purnamasari Nuzla Af'idatur Robbaniyyah Pontoh, Abdul Haris Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Putu Kartika Dewi Qurratul Aini Qurratul Aini Respiar, Boby Rifardi Rio Satriyantara Robbaniyyah, Nuzla Af’idatur Salwa Salwa Salwa Salwa Sarmin, Nor Haniza Satriawan, Didit Semil @ Ismail, Ghazali Siboro, Ayes Malona Sudirman Sudirman Taryadi Taryadi Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zata Yumni Awanis Zata Yumni Awanis