On the study of rainbow antimagic coloring of special graphs

• Main Authors: Dafik, Dafik, Wahidah, Riniatul Nur, Albirri, Ermita Rizki, Husain, Sharifah Kartini Said
• Format: Article
• Language: English
• Published: Maulana Malik Ibrahim State Islamic University 2023
• Online Access: http://psasir.upm.edu.my/id/eprint/108900/1/On%20the%20study%20of%20rainbow%20antimagic%20coloring%20of%20special%20graphs.pdf; http://psasir.upm.edu.my/id/eprint/108900/; https://ejournal.uin-malang.ac.id/index.php/Math/article/view/17836
• Institution: Universiti Putra Malaysia

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.