Super edge magic total labelling for triangle snake graph
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Date
2024-11-01
Authors
Sandarekha, G. L. N.
Perera, A. A. I.
Mohamed, M. A. M.
Journal Title
Journal ISSN
Volume Title
Publisher
Postgraduate Institute of Science (PGIS), University of Peradeniya, Sri Lanka
Abstract
In 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.
Description
Keywords
Super edge magic total labelling , Triangular snake graph
Citation
Proceedings of the Postgraduate Institute of Science Research Congress (RESCON) -2024, University of Peradeniya, P 98