Akses terbuka Jurnal SINTA 3
CERTAIN INDEXES OF UNIT GRAPH IN INTEGER MODULO RINGS WITH SPECIFIC ORDERS
BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 4 (2025) · hlm. 2455–2466
- ISSN
- 2615-3017, 1978-7227
- Terbit
- 2025-09-01
- Penerbit
- PATTIMURA UNIVERSITY
- Bahasa
- eng
Abstrak
Topological indices quantify structural properties of graphs and find wide applications in chemistry, physics, and network analysis. This study investigates several key indices—namely the Harary Index, Wiener Index, Randić Index, Schultz Index, and the Zagreb Indices—within the context of unit graphs derived from the ring of integers modulo. General formulas for these indices are established, demonstrating how they reflect the combinatorial and algebraic characteristics of unit graphs. Each index captures distinct structural aspects: the Wiener Index evaluates global connectivity and correlates with molecular stability and boiling points; the Randić Index highlights molecular branching relevant to enzyme activity; the Harary Index models electronic interactions through distance reciprocals; and the Zagreb Indices and Schultz Index provide insights into bonding properties and molecular interactions. By linking these indices to unit graphs, this work reinforces the synergy between graph theory and algebra, offering a systematic framework to interpret algebraic structures through graph-based invariants. The results not only contribute to theoretical understanding but also suggest potential applications in modeling chemical compounds and complex networks, paving the way for further exploration of topological indices in other algebraically defined graphs.
Jaringan kolaborasi para penulis
40 penulis · 87 tautan kepenulisan bersama · 36 lintas organisasi
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- University of Mataram
- Syarif Hidayatullah State Islamic University Jakarta
- Universiti Teknologi MARA
- University of Technology Malaysia
- Universitas Pendidikan Ganesha
- University of the Philippines Cebu
- Bandung Institute of Technology
- Organisasi lain
- Afiliasi tidak diketahui
- Organisasi berbeda
- Organisasi sama
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| Rekan penulis | Organisasi | Artikel bersama |
|---|---|---|
| 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 | Afiliasi tidak diketahui | 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 |
| 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 |
| Satriawan Pradana | University of Mataram | 1 |
| Rio Satriyantara | University of Mataram | 1 |
| Na’imah Hijriati | Lambung Mangkurat University | 1 |
| Sefti Fajriatul Musyarrofah | University of Mataram | 1 |
| Dimas Indrawadi | University of Mataram | 1 |
| Hazzirah Izzati Mat Hassim | University of Technology Malaysia | 1 |
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