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All Journal E-Jurnal Matematika HUMANIKA Jurnal Raushan Fikr Jurnal Ilmiah Mahasiswa FEB Dinar: Jurnal Ekonomi dan Keuangan Islam JMMR (Jurnal Medicoeticolegal dan Manajemen Rumah Sakit) Benefit: Jurnal Manajemen dan Bisnis Teras Jurnal Journal of Contemporary Urban Affairs Jurnal Penelitian Pendidikan IPA (JPPIPA) Educatio BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Ilmiah Mandala Education (JIME) EDUKATIF : JURNAL ILMU PENDIDIKAN EIGEN MATHEMATICS JOURNAL JPEK (Jurnal Pendidikan Ekonomi dan Kewirausahaan) Pekobis : Jurnal Pendidikan, Ekonomi, dan Bisnis Jurnal Aisyah : Jurnal Ilmu Kesehatan Contemporary Mathematics and Applications (ConMathA) AS-SABIQUN: Jurnal Pendidikan Islam Anak Usia Dini Indonesian Journal of Global Health research Academia Open Sustainable: Jurnal Kajian Mutu Pendidikan Nusantara Science and Technology Proceedings Arsitekno Indonesian Journal of Innovation Studies Journal Of World Science Rumoh: Journal of Architecture Jurnal Pepadu Bakti Sekawan : Jurnal Pengabdian Masyarakat Jurnal Keperawatan Soedirman (The Soedirman Journal of Nursing) Sublim: Jurnal Pendidikan Narasi: Jurnal Kajian Bahasa, Sastra Indonesia, dan Pengajarannya Interdiciplinary Journal of Education 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 Jurnal Akuntansi dan Governance Andalas Indonesian Journal of Midwifery Today Semeton Mathematics Journal Proceeding Of International Conference On Education, Society And Humanity Jurnal RAUT Malahayati International Journal of Nursing and Health Science Circular : Jurnal Pendidikan Sosial Dan Ekonomi IJASDS: Indonesian Journal of Applied Statistics and Data Science
Qurratul Aini
Universitas Islam Indonesia
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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 , Irwansyah, , ,, MUARDI - . Azmeri, . Abd. Rasyid Syamsuri Abdul Gazir Syarifudin Abdulamir, Mohammed Abdurahim, Abdurahim Abdussakir Abdussakir Adamy, Aulina Afandi, Rizal Agus Kurnia Aidina, Faiza Aprayuda, Riyadi Arisda Candra Satriawati Asbi, Asbi Baiq Yuliana Rizkiwati Budi, Irwan Setia Choirunnisa, Fajarani Danasti, Zulfa Nadia Daniel Happy Putra Delah, Laila Himni Deviani, Fitri Dwi Putranto, Ega Dzakiyullah, Nur Rachman Eko Mulyadi Eldina Fatimah Elmagboul, Abdallah Elsye Maria Rosa Ernawati, Eli Farhana Muhammad Fathul Maujud Fauzan Misra Gayatri, Marena Rahayu haji, Iwan Haris, Ananda Hariyadi, Ilham Harsyiah, Lisa Hasibuan, M Fauzi Hayatulla Hidayat, Malik Husnawati Husni, Muhammad Naoval Huzain Jailani I Gede Adhitya Wisnu Wardhana Irawan, Wahyu Hengky Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lata, Nandha Waldana Lawwamah, Tamsilul Lestari, Sri Lisa Maharani Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Marwan Marwan Maulana, Fariz Maulidy, Muhammad Meillyta, Meillyta Merkusi, Sweetina Mispandi Muchtar, M Ilham Muhamad Juaini Muhammad Rijal Alfian Nazifah Husainah Ni Wayan Switrayni Nur Hidayah Nurcahyanto, Aditiya Nurhabibah Nurhabibah Nuro Sholihah Oktavia, Putri Dwi Patoni, Anjazal Pazeth, Naufal Sulthana Pazira, Era Pebrianti, Ruli Pradana, Satriawan Pratiwi, Witri Andi PURNAMASARI, NUR ASMITA Putra, Lalu Riski Wirendra Putranto, Ega Dwi Ramadhan, Hikmal Maulana Ramdani, Dheta Alvina Ratri, Ayuningtyas Dewi Rini Eka Sari Rio Satriyantara Riswanto, Agus Rizqiwati, Baiq Yuliana Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rosidayani, Febby Rozikin, Muh Sajuri, Sajuri Salwa Salwa Sari, Hajar Fatma Satriawan, Didit Shobastian, Wahyu Derajat Siboro, Ayes Malona Subiyanto, Totok Sumarwanto, Edi Sundari, Sri Syafitri, Hanna Syamsul Bahri Syechah, Bulqis Nabula Tri Maryono Rusadi Wahyu Suci Anggrayani Wardana, I Gede Adhitya Wisnu Wastuti, Sri Ngayomi Yudha Wijayanti, Kusumaningrum Wilda Al Aluf, Wilda Al Zainal Abidin Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zikriatunniza, Zikriatunniza Zulhan Widya Baskara Zulhirsan, Lalu