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Research Article

Pair Sum Labeling Of Some Special Graphs


Author(s): K. Manimekalai , K.Thirusangu
Affiliation: Department of Mathematics, Bharathi women’s College (Autonomous), Chennai
Year of Publication: 2013
Source: International Journal of Computing Algorithm
     
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Citation: K. Manimekalai, K.Thirusangu. "Pair Sum Labeling Of Some Special Graphs." International Journal of Computing Algorithm 2.2 (2013): 83-85.

Abstract:
Let G be a p, q graph. A one-one map f : VG  {1, 2, …, p} is said to be a pair sum labeling if the induced edge function, fe : EG  Z – {0} defined by feuv = fu + fv is one-one and feEG is either of the form {k1, k2, …, kq/2} or {k1, k2, …, kq1/2}  {kq+1/2} according as q is even or odd. Recently, the pair sum labeling is introduced by R.Ponraj, J. V. X. Parthipan. In this paper we study about the pair sum labeling of coconut tree CTm, n, the the Y-tree Yn+1, Jelly fish Jm, n, m, 2-kite, m, 1-kite and the theta graph Ѳl[m] , for m even.


Keywords pair sum labeling, pair sum graph, AMS Classification: 05C78.


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@article{Pai1397788, author = {K. Manimekalai,K.Thirusangu}, title = {Pair Sum Labeling Of Some Special Graphs}, journal={International Journal of Computing Algorithm}, volume={2}, issue={2}, issn = {2278-2397}, year = {2013}, publisher = {Scholarly Citation Index Analytics-SCIA}

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  • [3] R.Ponraj, J. V. X. Parthipan, “ Pair Sum Labeling of Graphs”, The Journal of Indian Academy of Mathematics, Vol. 32, No. 2, pp. 587-595, 2010.
  • [4] R.Ponraj, J. V. X. Parthipan and R. Kala, “Some Results on Pair Sum Labeling”,International Journal of Mathematical Combinatorics, Vol. 4, pp. 55-61, 2010.
  • [5] R.Ponraj, J. V. X. Parthipan and R. Kala, “A Note on Pair Sum Graphs”, Journal of Scientific Research, Vol. 3, No. 2, pp. 321-329, 2011.
  • [6] R.Ponraj, J. V. X. Parthipan, Further Results on Pair Sum Labeling of Trees, Applied Mathematics, 2, 1270-1278, 2011.
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