Some More Results on Stolarsky-3 Mean Labeling of Graphs

S.Kavitha ¹ , S.S. Sandhya² , E.Ebin Raja Merly³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.89-93, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.8993

Online published on Dec 31, 2018

Copyright © S.Kavitha, S.S. Sandhya, E.Ebin Raja Merly . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

238 Views    235 Downloads    159 Downloads

Abstract :
In this paper, we contribute some new results for Stolarsky-3 Mean labeling of graphs. We have already proved Stolarsky-3 Mean labeling of some standard Graphs. We use some more standard graphs to derive the results of Stolarsky-3 Mean labeling. We prove Stolarsky-3 Mean labeling of Bistar, Planar Grid, Crown and Square of a Path.

Key-Words / Index Term :
Graph Labeling, Mean Labeling, Stolarsky-3 Mean Labeling, Bistar, Crown

References :
[1] J.A. Gallian, “A dynamic survey of graph labeling”, The electronic Journal of Combinatories 17(2017),#DS6.
[2] F.Harary, 1988, “Graph Theory” Narosa Puplishing House Reading, New Delhi.
[3] S.Somasundram, and R.Ponraj 2003 “Mean Labeling of Graphs”, National Academy of Science Letters Vol. 26, p.210-213.
[4] S.Somasundram, R.Ponraj and S.S.Sandhya, “ Harmonic Mean Labeling of Graphs” communicated to Journal of Combinatorial Mathematics and combinational computing.
[5] S.S.Sandhya, S.Somasundaram and S.Anusa “Some More Results on Root Square Mean Graphs” Journal of Mathematics Research; Vol.7, No.1; 2015.
[6] S.S.Sandhya, E.Ebin Raja Merly and S.Kavitha “Stolarsky-3 Mean Labeling of Graphs” Journal of Applied Science and Computations; Volume 5, Issue 9, September /2018 PP. 59-66.
[7] S.S.Sandhya, E.Ebin Raja Merly and S.Kavitha “Stolarsky-3 Mean Labeling of Some Special Graphs” Global Journal of Pure and Applied Mathematics; Volume 14, Number 1(2018)pp.39-47.
[8] S.S.Sandhya, E.Ebin Raja Merly and S.Kavitha “Some New Results on Super Stolarsky-3 Mean Labeling”International Journal of Mathematics Research; Volume 10, Number 1 (2018), pp. 7-20.