k-Zumkeller Labeling of Graphs

Authors and Affiliations

  • B. J. Balamurugan
  • K. Thirusangu
  • D. G. Thomas
  • B. J. Murali

About this article

DOI:

https://doi.org/10.14419/ijet.v7i4.10.21040

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Keywords:

Graphs, labeling, Zumkeller numbers, k-Zumkeller labeling.

Abstract

In this paper, we mainly focus on to prove that the graphs, viz., (i)paths, (ii) comb graphs, (iii) cycles, (iv) ladder graphs and (v) Pn´Pn graphs are k-Zumkeller graphs.

 

 

References

[1] Balamurugan BJ, Thirusangu K, Thomas DG (2013), Strongly multiplicative Zumkeller labeling of graphs. International Conference on Information and Mathematical Sciences, Elsevier, 349-354.

[2] Balamurugan BJ, Thirusangu K, Thomas DG (2014), Zumkeller labeling of some cycle related graphs. Proceedings of International Conference on Mathematical Sciences (ICMS - 2014), Elsevier, 549-553.

[3] Balamurugan BJ, Thirusangu K, Thomas DG (2015), Zumkeller labeling algorithms for complete bipartite graphs and wheel graphs. Advances in Intelligent Systems and Computing, Springer 324, 405-413.

[4] Balamurugan BJ, Thirusangu K, Thomas DG (2015), Algorithms for Zumkeller labeling of full binary trees and square grids. Advances in Intelligent Systems and Computing, Springer 325, 183-192.

[5] Balamurugan BJ, Thirusangu K, Thomas DG (2015), k-Zumkeller labeling for twig graphs. Electronic Notes in Discrete Mathematics, Elsevier 48, 119-126.

[6] Bloom GS, Golomb SW (1977), Applications of numbered undirected graphs. IEEE, 165 of 4, 526-570.

[7] Gallian JA (2016), A dynamic survey of graph labeling. Electronic Journal of Combinatorics 17 (DS6).

[8] Harary F, Graph theory. Addison-Wesley, Reading Mass, (1972).

[9] Murali BJ, Thirusangu K, Balamurugan BJ (2017), Zumkeller cordial labeling of cycle related graphs. International Journal of Pure and Applied Mathematics 116(3), 617-627.

[10] Richard Johnsonbaugh, Discrete Mathematics. Pearson Education, Asia, (2001).

[11] Rosa A (1966), On certain valuations of the vertices of a graph. In N.B. Gordan and Dunad, editors, Theory of graphs. International Symposium, Paris, 349-359.

[12] Srinivasan AK (1948), Practical numbers. Current Science 17, 179-180.

[13] YuejianPeng, BhaskaraRao KPS (2013), On Zumkeller numbers. Journal of Number Theory 133(4), 1135-1155.


How to Cite

J. Balamurugan, B., Thirusangu, K., G. Thomas, D., & J. Murali, B. (2018). k-Zumkeller Labeling of Graphs. International Journal of Engineering and Technology, 7(4.10), 460-463. https://doi.org/10.14419/ijet.v7i4.10.21040

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