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Skolem Difference Mean Graphs

  • Selvi, M. [1] ; Ramya, D. [1] ; Jeyanthi, P. [2]
    1. [1] Dr. Sivanthi Aditanar College of Engineering.
    2. [2] Govindammal Aditanar College for Women.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 34, Nº. 3, 2015, págs. 243-254
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172015000300004
  • Enlaces
  • Resumen
    • A graph G = (V, E) with p vertices and q edges is said to haveskolem difference mean labeling if it is possible to label the verticesx ∈ V with distinct elements f(x) from 1, 2, 3, · · · , p+q in such a waythat for each edge e = uv, let f ∗(e) = l|f(u)− 2 f(v)|m and the resultinglabels of the edges are distinct and are from 1, 2, 3, · · · , q. A graphthat admits a skolem difference mean labeling is called a skolem difference mean graph. In this paper, we prove Cn@Pm(n ≥ 3, m ≥ 1),T hK1,n1 : K1,n2 : · · · : K1,nmi, T hK1,n1 ◦ K1,n2 ◦ ◦ ◦ K1,nmi,St(n1, n2, · · · , nm) and Bt(n, n, · · · , n| {z }m times) are skolem difference mean graphs.

  • Referencias bibliográficas
    • Citas [1] F. Harary, Graph theory, Addison Wesley, Massachusetts, (1972).
    • [2] Joseph A. Gallian, A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinatorics, 17 (2014), # DS6.
    • [3] K. Murugan and A. Subramanian, Skolem difference mean labeling of H-graphs, International Journal of Mathematics and Soft Computing, Vol.1,...
    • [4] K. Murugan and A. Subramanian, Labeling of subdivided graphs, American Journal of Mathematics and Sciences, Vol.1, No. 1, pp. 143-149,...
    • [5] K. Murugan and A. Subramanian, Labeling of finite union of paths, International Journal of Mathematics and Soft Computing, Vol.2, No....
    • [6] D. Ramya, M. Selvi and R. Kalaiyarasi, On skolem difference mean labeling of graphs, International Journal of Mathematical Archive, 4(12),...
    • [7] D. Ramya and M. Selvi, On skolem difference mean labeling of some trees, International Journal of Mathematics and Soft Computing, Vol.4,...
    • [8] S. Somasundaram and R. Ponraj, Mean labelings of graphs, National Academy Science Letter, 26, pp. 210-213, (2003).

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