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On the study of rainbow antimagic coloring of special graphs


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.18860/ca.v7i4.17836
Publisher: Maulana Malik Ibrahim State Islamic University
Keywords: Antimagic labeling; Rainbow coloring; Rainbow antimagic connection number; Special graphs
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 11 Oct 2024 08:28
Last Modified: 11 Oct 2024 08:28
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.18860/ca.v7i4.17836
URI: http://psasir.upm.edu.my/id/eprint/108900
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