EVEN VERTEX MAGIC TOTAL LABELING OF ISOMORPHIC
AND NON ISOMORPHIC SUNS

CT. NAGARAJ; C.Y. PONNAPPAN; G. PRABAKARAN

doi:https://doi.org/10.14445/22315373/IJMTT-V52P566

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 7 | Year 2017 | Article Id. IJMTT-V52P566 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P566

EVEN VERTEX MAGIC TOTAL LABELING OF ISOMORPHIC AND NON ISOMORPHIC SUNS

CT. NAGARAJ, C.Y. PONNAPPAN, G. PRABAKARAN

Abstract

A vertex magic total labeling of a graph G(V, E) is defined as one - to - one mapping from the set of integers {1, 2, 3, ..., |V | + |E|} to V ∪ E with the property that the sum of the label of a vertex and the labels of all edges adjacent to this vertex is the same constant for all vertices of the graph. Such a labeling is even if f(V (G)) = {2, 4, 6, ..., 2n}. In this paper, we present an even vertex magic total labeling of union of suns, in particular disjoint union of isomorphic and non isomorphic suns.

Keywords

Even vertex magic total labeling, isomorphic suns, non isomorphic suns.

References

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[3] CT.Nagaraj, C.Y.Ponnappan, G.Prabakaran, Even vertex magic total labeling, International Journal of Pure and Applied Mathematics, Volume 115,No.9,(2017),363-375.
[4] V.Swaminathan, P.Jeyanthi, Super vertex magic labeling, Indian J.Pure Appl.Math 34(6)(2003) 935-939.
[5] W.D.Wallis, magic Graphs, Birkhauser, Barel, 2001.

Citation :

CT. NAGARAJ, C.Y. PONNAPPAN, G. PRABAKARAN, "EVEN VERTEX MAGIC TOTAL LABELING OF ISOMORPHIC AND NON ISOMORPHIC SUNS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 7, pp. 458-467, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P566