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On Square Sum Labeling of Two Families of Petersen Graphs

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  • Zhiqiang Zhang
  • Muhammad Naeem
  • Abeera Tariq
  • Weidong Zhao
  • Gohar Ali

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.

Suggested Citation

  • Zhiqiang Zhang & Muhammad Naeem & Abeera Tariq & Weidong Zhao & Gohar Ali, 2022. "On Square Sum Labeling of Two Families of Petersen Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-14, February.
    • Handle: RePEc:hin:jjmath:1872695
    DOI: 10.1155/2022/1872695
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