On Elegant Labelling and Magic Labelling of Large-Scale Graphs
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 w...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/6301674 |
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| _version_ | 1832548419696066560 |
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| author | Jing Su Hongyu Wang Bing Yao |
| author_facet | Jing Su Hongyu Wang Bing Yao |
| author_sort | Jing Su |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-abbb82fa36944e36b0c2f65599cd45f4 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-abbb82fa36944e36b0c2f65599cd45f42025-02-03T06:14:14ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/6301674On Elegant Labelling and Magic Labelling of Large-Scale GraphsJing Su0Hongyu Wang1Bing Yao2School of Electronics Engineering and Computer ScienceNational Computer Network Emergency Response Technical Team Coordination Center of ChinaCollege of Mathematics and StatisticsIn 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.http://dx.doi.org/10.1155/2022/6301674 |
| spellingShingle | Jing Su Hongyu Wang Bing Yao On Elegant Labelling and Magic Labelling of Large-Scale Graphs Discrete Dynamics in Nature and Society |
| title | On Elegant Labelling and Magic Labelling of Large-Scale Graphs |
| title_full | On Elegant Labelling and Magic Labelling of Large-Scale Graphs |
| title_fullStr | On Elegant Labelling and Magic Labelling of Large-Scale Graphs |
| title_full_unstemmed | On Elegant Labelling and Magic Labelling of Large-Scale Graphs |
| title_short | On Elegant Labelling and Magic Labelling of Large-Scale Graphs |
| title_sort | on elegant labelling and magic labelling of large scale graphs |
| url | http://dx.doi.org/10.1155/2022/6301674 |
| work_keys_str_mv | AT jingsu onelegantlabellingandmagiclabellingoflargescalegraphs AT hongyuwang onelegantlabellingandmagiclabellingoflargescalegraphs AT bingyao onelegantlabellingandmagiclabellingoflargescalegraphs |