On the study of rainbow antimagic coloring of special graphs
Let be a connected graph with vertex set and edge set . The bijective function is said to be a labeling of graph where is the associated weight for edge . If every edge has different weight, the function is called an edge antimagic vertex labeling. A path in the vertex-labeled graph , with eve...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Maulana Malik Ibrahim State Islamic University
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/108900/1/On%20the%20study%20of%20rainbow%20antimagic%20coloring%20of%20special%20graphs.pdf |
| _version_ | 1825939676289040384 |
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| author | Dafik, Dafik Wahidah, Riniatul Nur Albirri, Ermita Rizki Husain, Sharifah Kartini Said |
| author_facet | Dafik, Dafik Wahidah, Riniatul Nur Albirri, Ermita Rizki Husain, Sharifah Kartini Said |
| author_sort | Dafik, Dafik |
| collection | UPM |
| description | Let be a connected graph with vertex set and edge set . The bijective function is said to be a labeling of graph where is the associated weight for edge . If every edge has different weight, the function is called an edge antimagic vertex labeling. A path in the vertex-labeled graph , with every two edges satisfies is said to be a rainbow path. The function is called a rainbow antimagic labeling of , if for every two vertices , there exists a rainbow path. Graph admits the rainbow antimagic coloring, if we assign each edge with the color of the edge weight . The smallest number of colors induced from all edge weights of edge antimagic vertex labeling is called a rainbow antimagic connection number of , denoted by . In this paper, we study rainbow antimagic connection numbers of octopus graph , sandat graph , sun flower graph , volcano graph and semi jahangir graph Jn. |
| first_indexed | 2024-12-09T02:21:00Z |
| format | Article |
| id | upm.eprints-108900 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-12-09T02:21:00Z |
| publishDate | 2023 |
| publisher | Maulana Malik Ibrahim State Islamic University |
| record_format | dspace |
| spelling | upm.eprints-1089002024-10-11T08:28:06Z http://psasir.upm.edu.my/id/eprint/108900/ On the study of rainbow antimagic coloring of special graphs Dafik, Dafik Wahidah, Riniatul Nur Albirri, Ermita Rizki Husain, Sharifah Kartini Said Let be a connected graph with vertex set and edge set . The bijective function is said to be a labeling of graph where is the associated weight for edge . If every edge has different weight, the function is called an edge antimagic vertex labeling. A path in the vertex-labeled graph , with every two edges satisfies is said to be a rainbow path. The function is called a rainbow antimagic labeling of , if for every two vertices , there exists a rainbow path. Graph admits the rainbow antimagic coloring, if we assign each edge with the color of the edge weight . The smallest number of colors induced from all edge weights of edge antimagic vertex labeling is called a rainbow antimagic connection number of , denoted by . In this paper, we study rainbow antimagic connection numbers of octopus graph , sandat graph , sun flower graph , volcano graph and semi jahangir graph Jn. Maulana Malik Ibrahim State Islamic University 2023-05-24 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/108900/1/On%20the%20study%20of%20rainbow%20antimagic%20coloring%20of%20special%20graphs.pdf Dafik, Dafik and Wahidah, Riniatul Nur and Albirri, Ermita Rizki and Husain, Sharifah Kartini Said (2023) On the study of rainbow antimagic coloring of special graphs. CAUCHY: Jurnal Matematika Murni dan Aplikasi, 7 (4). pp. 585-596. ISSN 2086-0382; ESSN: 2477-3344 https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17836 10.18860/ca.v7i4.17836 |
| spellingShingle | Dafik, Dafik Wahidah, Riniatul Nur Albirri, Ermita Rizki Husain, Sharifah Kartini Said On the study of rainbow antimagic coloring of special graphs |
| title | On the study of rainbow antimagic coloring of special graphs |
| title_full | On the study of rainbow antimagic coloring of special graphs |
| title_fullStr | On the study of rainbow antimagic coloring of special graphs |
| title_full_unstemmed | On the study of rainbow antimagic coloring of special graphs |
| title_short | On the study of rainbow antimagic coloring of special graphs |
| title_sort | on the study of rainbow antimagic coloring of special graphs |
| url | http://psasir.upm.edu.my/id/eprint/108900/1/On%20the%20study%20of%20rainbow%20antimagic%20coloring%20of%20special%20graphs.pdf |
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