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On Elegant Labelling and Magic Labelling of Large-Scale Graphs
Author(s) -
Jing Su,
Hongyu Wang,
Bing Yao
Publication year - 2022
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2022/6301674
Subject(s) - labelling , magic (telescope) , graph , combinatorics , computer science , discrete mathematics , mathematics , physics , chemistry , biochemistry , quantum mechanics
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.

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