Open access Journal
Gutman, Sombor, and Harmonic Indices of Unit Graphs in The Integer Ring Modulo with A Specific Order
Jurnal Matematika, Statistika dan Komputasi · Vol. 21 No. 3 (2025) · pp. 725–738
- ISSN
- 2614-8811, 1858-1382
- Published
- 2025-05-14
- Publisher
- Department of Mathematics, Hasanuddin University
- Language
- en
Abstract
The ring of integers modulo is an algebraic structure that plays an important role in various fields, such as number theory, cryptography, and number system modeling. This structure also has a strong connection to graph representation, especially in the formation of unit graphs. This research focuses on the analysis of unit graphs formed from modulo integer algebras of a certain order, which aims to formulate the general form of topological indices, namely Gutman, Sombor, Reduced Sombor, Average Sombor, and Harmonic. The research considers two cases: the ring of integer modulo and, where is an odd prime number. The results show that each index has a unique and specific mathematical pattern according to its unit graph order. These findings provide a deeper understanding of the topological and combinatorial properties of unit graphs, which may help in generalizing their topological indices.
Keywords
Collaboration network of the authors
40 authors · 86 co-authorship links · 34 across different organisations · showing the 40 most connected
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- University of Mataram
- Syarif Hidayatullah State Islamic University Jakarta
- Universiti Teknologi MARA
- Universitas Pendidikan Ganesha
- Bandung Institute of Technology
- University of Barishal
- University of the Philippines Cebu
- Other organisations
- Affiliation unknown
- Different organisations
- Same organisation
- Affiliation unknown
- Thicker line = more joint articles · bigger circle = more articles
Show as table
| Co-author | Organisation | Joint articles |
|---|---|---|
| Qurratul Aini | University of Mataram | 2 |
| Muhammad Naoval Husni | University of Mataram | 2 |
| Ayes Malona Siboro | University of Mataram | 2 |
| Fariz Maulana | University of Mataram | 2 |
| Hanna Syafitri | University of Mataram | 1 |
| Abdul Gazir Syarifudin | Bandung Institute of Technology | 1 |
| Zatta Yumni Awanis | Affiliation unknown | 1 |
| Dewi Santri Ramdani | University of Mataram | 1 |
| Lalu Riski Wirendra Putra | University of Mataram | 1 |
| Zata Yumni Awanis | University of Mataram | 1 |
| Salwa Salwa | University of Mataram | 1 |
| Muhammad Afdhaluzzikri | University of Mataram | 1 |
| Fariz Maulana | University of Mataram | 1 |
| Hena Rani Biswas | University of Barishal | 1 |
| Sahin Two Lestari | University of Mataram | 1 |
| Jimboy Ruben Albaracin | University of the Philippines Cebu | 1 |
| Syamsul Bahri | Tanjungpura University | 1 |
| Lailia Awalushaumi | University of Mataram | 1 |
| Bulqis Nebulla Syechah | University of Mataram | 1 |
| Miftahurrahman Miftahurrahman | University of Mataram | 1 |
| Nur Idayu Alimon | Universiti Teknologi MARA | 1 |
| Nor Haniza Sarmin | University of Technology Malaysia | 1 |
| Gusti Yogananda Karang | University of Mataram | 1 |
| Manimaran Angamuthu | Vellore Institute of Technology University | 1 |
| Gustina Elfiyanti | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Mutia Nofita Sari | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Ade Candra | Syarif Hidayatullah State Islamic University Jakarta | 1 |
| Ghazali Semil Ismail | Universiti Teknologi MARA | 1 |
| Sarwa Hita | University of Mataram | 1 |
| Nguyen Dang Hoa Nghiem | Trường Đại học Kỹ thuật - Công nghệ Cần Thơ | 1 |
| Ni Komang Tri Dharmayani | University of Mataram | 1 |
| Putu Kartika Dewi | Universitas Pendidikan Ganesha | 1 |
| I Nengah Suparta | Universitas Pendidikan Ganesha | 1 |
| Baiq Rika Ayu Febrilia | University of Mataram | 1 |
| M Fauzul | University of Mataram | 1 |
| Putri Kurnia Chairunnisa | University of Mataram | 1 |
| Sefti Fajriatul Musyarrofah | University of Mataram | 1 |
Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.