(k, d)-MEAN LABELING OF SOME DISCONNECTED GRAPHS

Authors

  • B. Gayathri PG and Research Department of Mathematics, Periyar E.V.R. College, Tiruchirappalli, India
  • V. Sulochana Department of Mathematics, Seethalakshmi Ramaswami College, Tiruchirappalli, India

DOI:

https://doi.org/10.29121/granthaalayah.v5.i7(SE).2017.2040

Keywords:

(k,d)-Mean Labeling, (k,d)-Mean Graph

Abstract [English]

The concept of mean labeling was introduced by Somasundaram and Ponraj. K-odd mean, (k,d)-odd mean labeling were introduced and discussed by Gayathri and Amuthavalli. K-mean, k-even mean and (k,d)-even mean labeling were further studied by Gayathri and Gopi. We have obtained (k,1)-mean labeling for some new families of graphs. We have introduced (k,d)-mean labeling and obtained results for some family of trees and for some special graphs. In this paper, we investigate (k,d)-mean labeling for some disconnected graphs. Here k and d denote any positive integer greater than or equal to 1.

Downloads

Download data is not yet available.

References

B. Gayathri and K. Amuthavalli, (k, d)-odd mean labeling of some graphs, Bulletin of Pure and Applied Sciences, 26E(2) (2007) 263-267.

G.S. Bloom, S.W. Golomb, Applications of numbered undirected graphs, Proc. IEEE, 65(1977), 562-570. DOI: https://doi.org/10.1109/PROC.1977.10517

J.A. Gallian, A dynamic survey of graph labeling, Electronic Journal of Combinators, 18 (2016) #DS6.

B. Gayathri and V. Sulochana, (k, d)-mean labeling of some family of trees, International Journal of Science and Research, Vol. 5, Issue 1, Jan 2016, 62-68. DOI: https://doi.org/10.21275/v5i1.NOV152596

B. Gayathri and V. Sulochana, (k, d)-mean labeling of some special graphs, Jamal Academic Research Journal (ISSN 0973-0303), 13-20.

B. Gayathri and V. Sulochana, Some new families of (k, 1)-mean graphs, Aryabhatta Journal of Mathematics and Informatics [AJMI], Vol. 8, Issue 2, July-Dec, 2016, 201-206.

B. Gayathri and R. Gopi, k-even mean labeling of Tn,m,t, International Journal of Engineering Science, Advanced Computing and Bio-Technology, Vol. 2, No. 2, April-June 2011, 77-87.

F. Harary, Graph Theory, Addison-Wesley, Reading Masachusetts, 1972.

Rosa, On Certain valuations of the Vertices of a graph. Theory of graphs (Internet symposium, Rome, July 1996), Gordon and Breach, N.Y and Duhod, Paris (1967) 349-355

S. Somasundaram and R. Ponraj, Mean labeling of graphs, National Academy Science Letter, 26(7-8) (2003), 10-13.

Downloads

Published

2017-07-31

How to Cite

Gayathri, B., & Sulochana, V. (2017). (k, d)-MEAN LABELING OF SOME DISCONNECTED GRAPHS. International Journal of Research -GRANTHAALAYAH, 5(7(SE), 31–41. https://doi.org/10.29121/granthaalayah.v5.i7(SE).2017.2040