On super edge-magic total labeling on subdivision of trees

نویسندگان

  • M. Javaid
  • M. Hussain
  • K. Ali
  • H. Shaker
چکیده

An edge-magic total labeling of a graph G is a one-toone map λ from V (G) ∪ E(G) onto the integers {1, 2, · · · , |V (G) ∪ E(G)|} with the property that, there is an integer constant c such that λ(x) + λ(x, y) + λ(y) = c for any (x, y) ∈ E(G). If λ(V (G)) = {1, 2, · · · , |V (G|} then edge-magic total labeling is called super edgemagic total labeling. In this paper we formulate super edge-magic total labeling on subdivision of some families of trees namely: K1,4 and w-tree.

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تاریخ انتشار 2009