On Elegant Labelling and Magic Labelling of Large‐Scale Graphs
Jing Su, Hongyu Wang, Bing Yao · Discrete Dynamics in Nature and Society · 2022
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.