On Square Sum Labeling of Two Families of Petersen Graphs
A labeling on a graph G with n vertices and m edges is called square sum if there exists a bijection f:VG⟶0,1,2,3,…,n−1 such that the function f∗:EG⟶N defined by f∗st=fs2+ft2, for all st∈EG, is injective. A graph G having a square sum labeling is called square sum. In this study, we have investigate...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1872695 |
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| _version_ | 1849409360126541824 |
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| author | Zhiqiang Zhang Muhammad Naeem Abeera Tariq Weidong Zhao |
| author_facet | Zhiqiang Zhang Muhammad Naeem Abeera Tariq Weidong Zhao |
| author_sort | Zhiqiang Zhang |
| collection | DOAJ |
| description | A labeling on a graph G with n vertices and m edges is called square sum if there exists a bijection f:VG⟶0,1,2,3,…,n−1 such that the function f∗:EG⟶N defined by f∗st=fs2+ft2, for all st∈EG, is injective. A graph G having a square sum labeling is called square sum. In this study, we have investigated the square sum labeling of generalized Petersen graph and double generalized Petersen graph. |
| format | Article |
| id | doaj-art-76517fea89314a6fa79c76641430f527 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-76517fea89314a6fa79c76641430f5272025-08-20T03:35:32ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1872695On Square Sum Labeling of Two Families of Petersen GraphsZhiqiang Zhang0Muhammad Naeem1Abeera Tariq2Weidong Zhao3School of Computer ScienceDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsSchool of Computer ScienceA labeling on a graph G with n vertices and m edges is called square sum if there exists a bijection f:VG⟶0,1,2,3,…,n−1 such that the function f∗:EG⟶N defined by f∗st=fs2+ft2, for all st∈EG, is injective. A graph G having a square sum labeling is called square sum. In this study, we have investigated the square sum labeling of generalized Petersen graph and double generalized Petersen graph.http://dx.doi.org/10.1155/2022/1872695 |
| spellingShingle | Zhiqiang Zhang Muhammad Naeem Abeera Tariq Weidong Zhao On Square Sum Labeling of Two Families of Petersen Graphs Journal of Mathematics |
| title | On Square Sum Labeling of Two Families of Petersen Graphs |
| title_full | On Square Sum Labeling of Two Families of Petersen Graphs |
| title_fullStr | On Square Sum Labeling of Two Families of Petersen Graphs |
| title_full_unstemmed | On Square Sum Labeling of Two Families of Petersen Graphs |
| title_short | On Square Sum Labeling of Two Families of Petersen Graphs |
| title_sort | on square sum labeling of two families of petersen graphs |
| url | http://dx.doi.org/10.1155/2022/1872695 |
| work_keys_str_mv | AT zhiqiangzhang onsquaresumlabelingoftwofamiliesofpetersengraphs AT muhammadnaeem onsquaresumlabelingoftwofamiliesofpetersengraphs AT abeeratariq onsquaresumlabelingoftwofamiliesofpetersengraphs AT weidongzhao onsquaresumlabelingoftwofamiliesofpetersengraphs |