On Square Sum Labeling of Two Families of Petersen Graphs

Zhiqiang Zhang, Muhammad Naeem, Abeera Tariq, Weidong Zhao and Gohar Ali

Journal of Mathematics, 2022, vol. 2022, 1-14

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1872695

DOI: 10.1155/2022/1872695

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