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Strongly Multiplicative Labeling of Diamond Graph, Generalized Petersen Graph, and Some Other Graphs

Author

Listed:
  • Sumiya Nasir
  • Nazeran Idrees
  • Afshan Sadiq
  • Fozia Bashir Farooq
  • Salma Kanwal
  • Muhammad Imran
  • A. Ghareeb

Abstract

A finite, simple graph of order k is said to be a strongly multiplicative graph when all vertices of the graph are labeled by positive integers 1,2,3,…,k such that the induced edge labels of the graph, obtained by the product of labels of end vertices of edges, are distinct. In this paper, we show that the diamond graph Brn  for 𠑛 ≥ 3, umbrella graph Um,n, and generalized Petersen graph GPn,k, for n≥3 and 1≤k

Suggested Citation

  • Sumiya Nasir & Nazeran Idrees & Afshan Sadiq & Fozia Bashir Farooq & Salma Kanwal & Muhammad Imran & A. Ghareeb, 2022. "Strongly Multiplicative Labeling of Diamond Graph, Generalized Petersen Graph, and Some Other Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-5, July.
  • Handle: RePEc:hin:jjmath:3203108
    DOI: 10.1155/2022/3203108
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