Some Corona Product of Root Square Mean Labeling of Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-7
Year of Publication : 2022
Authors : M. Sivasakthi, S. Meena, S. Gangadevi
 10.14445/22315373/IJMTT-V68I7P501

How to Cite?

M. Sivasakthi, S. Meena, S. Gangadevi, "Some Corona Product of Root Square Mean Labeling of Graphs," International Journal of Mathematics Trends and Technology, vol. 68, no. 7, pp. 1-5, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I7P501

Abstract
A graph G = (V, E) with p vertices and q edges is said to be a Root Square Mean graph if it is possible to label the vertices x V with distinct elements f(x) from 1,2,....,q+1 in such a way that when each edge e=uv is labelled with f(e=uv) = [ √(f(u)2+f(v)2)/2] or [√(f(u)2+f(v)2)/2], then the resulting edge labels are distinct. In this case f is called a Root Square Mean labeling of G. In this paper we prove that some corona product of Root Square Mean labeling of graphs, such as Ln ΘK1, QnΘK1TnΘ K1 are Root Square Mean labeling of graphs.

Keywords : Graph, Root Square Mean graph, Ln ΘK1, QnΘK1TnΘ K1.

Reference

[1] Gallian J.A, 2010, A dynamic survey of graph labeling. The electronic Journalof Combinatories17#DS6.
[2] Gayathri.B and Gopi.R , Necessary condition for mean labeling, International Journal of Engineering Sciences, Advanced computing and Bio-Technology, 4(3)(2013),43-52.
[3] Gayathri.B and Gopi.R, cycle related mean graph, Elixir International Journal of Applied Sciences, 71(2014), 25116-25124.
[4] Gopi.R, Super root square mean labeling of some more graphs, Journal of Discrete Mathematical Sciences & cryptography(communicated).
[5] Harary .F, 1988, Graph Theory, Narosa Publishing House Reading, New Delhi.
[6] Meena .S, Sivasakthi.M “ New results on harmonic mean graphs” MalayaJournal of Mathematic, 482-486, 2020.
[7] Meena.S, Sivasakthi.M “ Harmonic Mean Labeling of Zig- Zag Triangular Graphs” International of Mathematics Trends and Technology, April 66(4), 17-24,2020.
[8] Ponraj.R and Somasundaram.S (2003), Mean labeling of graphs, NationalAcademy of Science Letter vol.26, p210-213.
[9] Rosa.A , “on certain valuation of the vertices of a graph “, Theory of graphsintermet symposium, Rome, July(1966) Gardom and Breach N.Y and DunodParis (1967) 349-355.
[10] Somasundaram.S and Ponraj.R 2003, Mean labeling of graph, NationalAcademy of Science Letters vol.26, p210-213.
[11] Sandhya.S.S, Somasundaram.S, Anusa.S, “Root Square Mean Labeling ofGraphs” International Journal of Contemporary Mathematical Scciences, Vol.9, 2014, no.14, 667-676.
[12] Sandhya .S.S, Somasundaram.S, Anusa.S, “Some New Results on Root SquareMean Labeling” International Journal of Mathematics Archive -5(12), 2014, 130-135.
[13] Sandhya.S.S, Somasundaram.S, Anusa.S, Root Square Mean Labeling ofSubdivision of some Graphs” Global Journal of Theoretical and AppliedMathematics Sciences, Volume 5, Number 1, (2015) pp.1-11.
[14] Sandhiya.S.S, Somasundaram.S, Anusa.S, “Root Square Mean Labeling of Some new Disconnected Graphs” International Journal of Mathematics Trends and Technology, volume 15, number 2,2014.Page no:85-92.
[15] Thiruganasambandam.K and Venkatesan.K, Super Root Square Mean Labeling of Graph, Internal Journal of Mathematics and soft computing, 5(2)(2015), 189-195