Article Per Year (5 Year)
p-Index From 2020 - 2025
3.082
P-Index
This Author published in this journals
All Journal The Journal of Experimental Life Sciences (JELS) EIGEN MATHEMATICS JOURNAL Mandalika Mathematics and Educations Journal Contemporary Mathematics and Applications (ConMathA) Jurnal Diferensial Lombok Journal of Science Griya Journal of Mathematics Education and Application Rengganis Jurnal Pengabdian Masyarakat Journal of Research Applications in Community Services Bakti Sekawan : Jurnal Pengabdian Masyarakat Parameter: Jurnal Matematika, Statistika dan Terapannya Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA
Rio Satriyantara
Universitas Mataram
Religion Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Health Professions Immunology & microbiology Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Neuroscience Public Health Social Sciences Other

Published : 20 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search
Journal : Contemporary Mathematics and Applications (ConMathA)

 1 
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 Abdurahim, Abdurahim Ade Irawan Adi Irawan Agus Kurnia Alfian Eka Utama Alfian Eka Utama Alfian Eka Utama Ardana, Alfian Putra Ayes Malona Siboro Dara Puspita Anggraeni Dara Puspita Anggraeni Dara Puspita Anggraeni, Dara Puspita Dewi, Irma Risvana Dwi Agustini Dwi Agustini, Dwi Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Fauzi, Andri Azmul Fauzi, Muhammad Hilmi Graha, Syifa Salsabila Satya Gusti Yogananda Karang Harsyiah, Lisa Helmi Hariyanti Hidayat, Malik Hidayat, Noor Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Inayati, Rizqa Irma Risvana Dewi Irma Risvana Dewi Irma Risvana Dewi Irwansyah Irwansyah Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lalu Riski Wirendra Putra Lia Fitta Pratiwi Lilik Hidayati, Lilik Lismawanti Safitri Luzianawati, Luzianawati Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Mamika Ujianita Romdhini Mamika Ujianita Romdhini, Mamika Ujianita Marhani Marwan Marwan Maulana, Fariz Muhammad Rijal Alfian Pahrurrozi Pahrurrozi Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Ramadhan, Hikmal Maulana Rendi Bahtiar Pratama Ria Maulina Ridwan, Lalu Muhammad Ripai, Ripai Rismayatun Ainun Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rohmah, Zulfiani Salwa Salwa Satriawan Pradana Siboro, Ayes Malona Suryanto, Agus Syaftirridho Putri Syamsul Bahri Syifa Salsabila Satya Graha Tri Maryono Rusadi Tumilaar, Rinancy Utama, Alfian Eka Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zarkasi Zarkasi Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara