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On Elegant Labelling and Magic Labelling of Large-Scale Graphs

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  • Jing Su
  • Hongyu Wang
  • Bing Yao
  • Akbar Ali

Abstract

In this paper, we deduce the equivalence relationship among strongly c-elegant labelling, super-edge magic total labelling, edge antimagic total labelling, and super t,1-magical labelling. We study some properties of the graph with a strongly c-elegant labelling. On the basis of small-scale graphs with strongly c-elegant labelling, several types of large-scale graphs are constructed through graph operations, and we further prove the existence of their strongly c-elegant labelling. In addition, we also define a transformation of strongly c-elegant labelling, which provides a method for the transformation between several strongly c-elegant labellings of a graph.

Suggested Citation

  • Jing Su & Hongyu Wang & Bing Yao & Akbar Ali, 2022. "On Elegant Labelling and Magic Labelling of Large-Scale Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-10, March.
    • Handle: RePEc:hin:jnddns:6301674
    DOI: 10.1155/2022/6301674
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