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Research Article

On Edge Antimagic Total Labeling And Arithmetic Progression


Author(s): Mohammed Ali Ahmed , J. Baskar Babujee
Affiliation: Department of Mathematics,College of Education, University of Baghdad, Iraq.
Year of Publication: 2014
Source: International Journal of Computing Algorithm
     
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Citation: Mohammed Ali Ahmed, J. Baskar Babujee. "On Edge Antimagic Total Labeling And Arithmetic Progression." International Journal of Computing Algorithm 3.2 (2014): 107-109.

Abstract:
Abstract- An edge magic total labeling of graph with p vertices and q edges is a bijection from the set of vertices and edges to 1, 2, 3,…,p+qsuch that for every edge the sum of the label of the edges and the label of its two end vertices are constant . And if the sum is distinct it is said to be an edge antimagic total labeling. In this paper, we exhibit edge antimagic total labeling on graph structure for various arithmetic progression.


Keywords graph, labeling, function, arithmetic progression, magic labeling.


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@article{OnE1481811, author = {Mohammed Ali Ahmed,J. Baskar Babujee}, title = {On Edge Antimagic Total Labeling And Arithmetic Progression}, journal={International Journal of Computing Algorithm}, volume={3}, issue={2}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA}

  • [1] J.Baskar Babujee, “Antimagic labeling on certain classes of graphs”, International Journal of Mathematics, Acta Ciencia Indica, Vol.XXXI M, No.4, 2005 ,1027 – 1030.
  • [2] J.Baskar Babujee, S. Babitha , D.Prathap,” New constructions on edge antimagic graphs”, Applied Mathematical Sciences, Vol. 6, 2012, no. 44, pp 2149 –2157.
  • [3] J.A.Gallian, A Dynamic Survey of Graph Labeling, Electronic Journal of Combinatorics .19, # DS6, 2012.
  • [4] W.D. Wallis, Magic Graphs, Birkhauser, 2001.
  • [5] V. Yegnanarayanan, On magic graphs, Util. math, 59 2001, 181-204
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