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All Journal E-Jurnal Matematika HUMANIKA Jurnal Raushan Fikr Dinar: Jurnal Ekonomi dan Keuangan Islam JMMR (Jurnal Medicoeticolegal dan Manajemen Rumah Sakit) Benefit: Jurnal Manajemen dan Bisnis Journal of Contemporary Urban Affairs Jurnal Penelitian Pendidikan IPA (JPPIPA) Educatio BAREKENG: Jurnal Ilmu Matematika dan Terapan Edumaspul: Jurnal Pendidikan EDUKATIF : JURNAL ILMU PENDIDIKAN EIGEN MATHEMATICS JOURNAL JPEK (Jurnal Pendidikan Ekonomi dan Kewirausahaan) Ghancaran: Jurnal Pendidikan Bahasa dan Sastra Indonesia Pekobis : Jurnal Pendidikan, Ekonomi, dan Bisnis Jurnal Aisyah : Jurnal Ilmu Kesehatan Contemporary Mathematics and Applications (ConMathA) AS-SABIQUN: Jurnal Pendidikan Islam Anak Usia Dini Nusantara Science and Technology Proceedings Arsitekno Rumoh: Journal of Architecture Jurnal Pepadu Jurnal Keperawatan Soedirman (The Soedirman Journal of Nursing) Narasi: Jurnal Kajian Bahasa, Sastra Indonesia, dan Pengajarannya JMMR (Jurnal Medicoeticolegal dan Manajemen Rumah Sakit) Jurnal Global Ilmiah Journal of Management, Entrepreneurship and Tourism Journal of Family Law and Islamic Court AT-TAUJIH Bimbingan Dan Konseling Islam Indonesian Journal of Midwifery Today Jurnal RAUT Malahayati International Journal of Nursing and Health Science Circular : Jurnal Pendidikan Sosial Dan Ekonomi
Qurratul Aini
Universitas Islam Indonesia
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Journal : Contemporary Mathematics and Applications (ConMathA)

 1 
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 , Irwansyah, , ,, MUARDI - Abd. Rasyid Syamsuri Abdulamir, Mohammed Abdurahim, Abdurahim Abdussakir Abdussakir Adamy, Aulina Afandi, Rizal Aidina, Faiza Ambarwati, Ari Arisda Candra Satriawati Baiq Yuliana Rizkiwati Budi, Irwan Setia Choirunnisa, Fajarani Delah, Laila Himni Deviani, Fitri Dzakiyullah, Nur Rachman Eko Mulyadi Elmagboul, Abdallah Ernawati, Eli Farhana Muhammad haji, Iwan Haris, Ananda Harsyiah, Lisa Hasibuan, M Fauzi Hayatulla Husainah, Nazifah Husnawati Husni, Muhammad Naoval Huzain Jailani I Gede Adhitya Wisnu Wardhana Irawan, Wahyu Hengky Karang, Gusti Yogananda Lailia Awalushaumi, Lailia Lata, Nandha Waldana Lawwamah, Tamsilul Lestari, Sri Maharani, Lisa Malik, Deny Putra Marwan Marwan Maulana, Fariz Meillyta, Meillyta Merkusi, Sweetina Miranda, Mega Muchtar, M Ilham Muhamad Juaini Muhammad Rijal Alfian Nur Hidayah Nuro Sholihah Patoni, Anjazal Pazeth, Naufal Sulthana Pratiwi, Witri Andi PURNAMASARI, NUR ASMITA Putra, Lalu Riski Wirendra Putranto, Ega Dwi Ramdani, Dheta Alvina Ratri, Ayuningtyas Dewi Rio Satriyantara Riswanto, Agus Rizqiwati, Baiq Yuliana Robbaniyyah, Nuzla Af’idatur Rosidayani, Febby Rozikin, Muh Salwa Salwa Sari, Hajar Fatma Satriawan, Didit Shobastian, Wahyu Derajat Siboro, Ayes Malona Subiyanto, Totok Sumarwanto, Edi Sundari, Sri Syafitri, Hanna Syechah, Bulqis Nabula Tabarok, Moh Tri Maryono Rusadi Wardana, I Gede Adhitya Wisnu Wastuti, Sri Ngayomi Yudha Wilda Al Aluf, Wilda Al Zainal Abidin Zata Yumni Awanis Zulhirsan, Lalu