Prime Graceful Labeling

  • Authors

    • T. Hameed Hassan
    • R. Mohammad Abbas
    2018-12-09
    https://doi.org/10.14419/ijet.v7i4.36.24234
  • Prime labeling, graceful labeling and prime graceful labeling.
  • A graph G with m vertices and n edges, is said to be prime graceful labeling, if there is an injection   from the vertices of G to {1, 2, ..., k} where k = min {2m, 2n} such that  gcd ( ( ),  ( )=1 and the induced injective function   from the edges of G to {1, 2, ..., k − 1} defined by  ( ) = |  ( ) − ( ) | , the resulting edge labels are distinct. In this paper path  , cycle Cn , star K1,n , friendship graph Fn , bistar Bn,n, C4 ∪ Pn , Km,2 and Km,2 ∪ Pn are shown to be Prime Graceful Labeling .

     

  • References

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  • How to Cite

    Hameed Hassan, T., & Mohammad Abbas, R. (2018). Prime Graceful Labeling. International Journal of Engineering & Technology, 7(4.36), 750-752. https://doi.org/10.14419/ijet.v7i4.36.24234