Hypo-k-Totally Magic Cordial Labeling of Graphs
DOI:
https://doi.org/10.4067/S0716-09172015000400004Keywords:
k-totally magic cordial labeling, Hypo-k-totally magic cordial labeling, Hypo-k-totally magic cordial graph, Complete graph, Complete bipartite graph, Wheel graph.Abstract
A graph G is said to be hypo-k-totally magic cordial if G — {v} is k-totally magic cordial for each vertex v in V(G). In this paper, we establish that cycle, complete graph, complete bipartite graph and wheel graph admit hypo-k-totally magic cordial labeling and some families of graphs do not admit hypo-k-totally magic cordial labeling.References
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[2] I. Cahit, Some totally modular cordial graphs, Discuss. Math. Graph Theory, 22, pp. 247—258, (2002).
[3] F. Harary, Graph Theory, Addison-Wesley Publishing Co., (1969).
[4] P. Jeyanthi, N. Angel Benseera and M. Immaculate Mary, On totally magic cordial labeling, SUT Journal of Mathematics, 49, pp. 13—18, (2013).
[5] P. Jeyanthi and N. Angel Benseera, Totally magic cordial labeling of one-point union of n copies of a graph, Opuscula Mathematica, 34 (1), pp. 115—122, (2014).
[6] P. Jeyanthi and N. Angel Benseera, Totally magic cordial deficiency of some graphs, Utilitas Mathematica, (to appear).
[7] P. Jeyanthi, N. Angel Benseera and Gee-Choon Lau, On k-Totally magic cordial labeling of graphs, Discrete Mathematics, Algorithms and Applications, Vol. 7, No. 3, 1550024, 7 pages, (2015), DOI: 10.1142/S179383091550024X.
[8] P. Jeyanthi and N. Angel Benseera, Totally magic cordial labeling of some graphs, Journal of Algorithms and Computation, 46 (1), pp. 1-8, 2015.
[2] I. Cahit, Some totally modular cordial graphs, Discuss. Math. Graph Theory, 22, pp. 247—258, (2002).
[3] F. Harary, Graph Theory, Addison-Wesley Publishing Co., (1969).
[4] P. Jeyanthi, N. Angel Benseera and M. Immaculate Mary, On totally magic cordial labeling, SUT Journal of Mathematics, 49, pp. 13—18, (2013).
[5] P. Jeyanthi and N. Angel Benseera, Totally magic cordial labeling of one-point union of n copies of a graph, Opuscula Mathematica, 34 (1), pp. 115—122, (2014).
[6] P. Jeyanthi and N. Angel Benseera, Totally magic cordial deficiency of some graphs, Utilitas Mathematica, (to appear).
[7] P. Jeyanthi, N. Angel Benseera and Gee-Choon Lau, On k-Totally magic cordial labeling of graphs, Discrete Mathematics, Algorithms and Applications, Vol. 7, No. 3, 1550024, 7 pages, (2015), DOI: 10.1142/S179383091550024X.
[8] P. Jeyanthi and N. Angel Benseera, Totally magic cordial labeling of some graphs, Journal of Algorithms and Computation, 46 (1), pp. 1-8, 2015.
How to Cite
[1]
P. Jeyanthi, N. A. Benseera, and G. G. Lau, “Hypo-k-Totally Magic Cordial Labeling of Graphs”, Proyecciones (Antofagasta, On line), vol. 34, no. 4, pp. 351-359, 1.
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