Open access Journal
Total Rainbow Connection Number Of Shackle Product Of Antiprism Graph (〖AP〗_3)
Jurnal Matematika, Statistika dan Komputasi · Vol. 20 No. 1 (2023) · pp. 1–9
- ISSN
- 2614-8811, 1858-1382
- Published
- 2023-09-06
- Publisher
- Department of Mathematics, Hasanuddin University
- Language
- en
Abstract
English
Function if is said to be k total rainbows in, for each pair of vertex there is a path called with each edge and each vertex on the path will have a different color. The total connection number is denoted by trc defined as the minimum number of colors needed to make graph to be total rainbow connected. Total rainbow connection numbers can also be applied to graphs that are the result of operations. The denoted shackle graph is a graph resulting from the denoted graph where t is number of copies of G. This research discusses rainbow connection numbers rc and total rainbow connection trc(G) using the shackle operation, where is the antiprism graph. Based on this research, rainbow connection numbers rc shack, and total rainbow connection trc shack for.
Indonesian
Fungsi jika c: G → {1,2,..., k} dikatakan k total pelangi pada G, untuk setiap pasang titik terdapat lintasan disebut x-y dengan setiap sisi dan setiap titik pada lintasan akan memiliki warna berbeda. Bilangan terhubung total pelangi dilambangkan dengan trc(G), didefinisikan sebagai jumlah minimum warna yang diperlukan untuk membuat graf G menjadi terhubung-total pelangi. Bilangan terhubung total pelangi juga dapat diterapkan pada graf yang merupakan hasil operasi. Graf shackle yang dilambangkan (G1,G2,…,Gt) adalah graf yang dihasilkan dari graf G yang dilambangkan (G,t) dengan t adalah jumlah salinan dari Penelitian ini membahas mengenai bilangan terhubung pelangi rc dan bilangan terhubung total pelangi trc(G)menggunakan operasi shackle, dimana G adalah graf Antiprisma (AP3)Berdasarkan penelitian ini, diperoleh bilangan terhubung pelangi rc(shack AP3,t )= t+2, dan total pelangi trc(shack AP3,t)=2t+3 untuk t ≥2.
Keywords
Collaboration network of the authors
23 authors · 67 co-authorship links
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- State University of Gorontalo
- 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 |
|---|---|---|
| Nurwan Nurwan | State University of Gorontalo | 5 |
| Ismail Djakaria | State University of Gorontalo | 3 |
| Salmun K. Nasib | State University of Gorontalo | 2 |
| Zulkifli Alamtaha | Affiliation unknown | 1 |
| Mohamad Rivaldi Koni | Affiliation unknown | 1 |
| Rahmayunda Usali | State University of Gorontalo | 1 |
| Franky Alfrits Oroh | State University of Gorontalo | 1 |
| Ainun Fatmawati | State University of Gorontalo | 1 |
| Djihad Wungguli | State University of Gorontalo | 1 |
| Jefri N. Isa | State University of Gorontalo | 1 |
| Stella Junus | State University of Gorontalo | 1 |
| Lailany Yahya | State University of Gorontalo | 1 |
| La Ode Nashar | State University of Gorontalo | 1 |
| Amanda Adityaningrum | State University of Gorontalo | 1 |
| Sri Indriani Ladjali | State University of Gorontalo | 1 |
| Herlina Jusuf | State University of Gorontalo | 1 |
| Hasan S. Panigoro | State University of Gorontalo | 1 |
| Sri Lestari Mahmud | State University of Gorontalo | 1 |
| Anatasya Lahay | Affiliation unknown | 1 |
| Perry Zakaria | Affiliation unknown | 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.