Sandarekha, G. L. N.Perera, A. A. I.Mohamed, M. A. M.2024-10-252024-10-252024-11-01Proceedings of the Postgraduate Institute of Science Research Congress (RESCON) -2024, University of Peradeniya, P 983051-4622https://ir.lib.pdn.ac.lk/handle/20.500.14444/2532In graph theory, there are different types of techniques for graph labelling, such as radio labelling, harmonious labelling, graceful labelling, magic and antimagic labelling, etc. This study investigated a type of magic labelling called super edge-magic total labelling for triangle snake graphs. It was proved that the triangle snake graph can be labelled using super-edged magic total labelling. Let |𝑉(𝐺)|=𝑝, |𝐸(𝐺)|=𝑞, and 𝑛 be the number of triangles in that pattern, then the magic number was obtained as 𝑘=𝑝+𝑞+3=3(𝑛+2). Therefore, this study validates a new super edge-magic total labelling pattern for the triangle snake graph, opening avenues for further studies on similar graphs and potential real-world applications. Future work will explore extending these findings to other graph structures.enSuper edge magic total labellingTriangular snake graphArticle