Root Square Mean Labeling of Some New
Disconnected Graphs

S.S.Sandhya; S.Somasundaram; S.Anusa

doi:https://doi.org/10.14445/22315373/IJMTT-V15P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 15 | Number 2 | Year 2014 | Article Id. IJMTT-V15P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V15P511

Root Square Mean Labeling of Some New Disconnected Graphs

S.S.Sandhya, S.Somasundaram, S.Anusa

Abstract

A graph ܩ) = ܸ, ܧ (with ݌ vertices and ݍ edges is called a Root Square Mean graph if it is possible to label the vertices ݔܸ߳ with distinct labels ݂(ݔ (from 1,2, … , ݍ + 1 in such a way that when each edge ݁ = ݒݑ is labeled with ݂(݁ = ݒݑ = (ቜට ௙(௨) మା௙(௩) మ ଶ ቝ or ቞ට ௙(௨) మା௙(௩) మ ଶ ቟, then the edge labels are distinct. In this case ݂ is called Root Square mean labeling of ܩ. In this paper we prove that some disconnected graphs are Root Square Mean graphs.

Keywords

Graph, Root Square Mean labeling, Path, Cycle, Comb, Triangular Snake, Quadrilateral Snake.

References

[1] Gallian. J.A, 2012, A dynamic Survey of graph labeling. The electronic Journal of Combinatories .
[2] Harary.F, 1988, Graph Theory, Narosa Publishing House Reading, New Delhi.
[3] Sandhya.S.S , Somasundaram.S , “Geometric Mean Labeling of Disconnected Graphs” Future Prospects in Multi Disciplinary Research. ISBN 978-81-910747-7-2 page no:134 to 136.
[4] Sandhya.S.S , Somasundaram.S, Anusa.S, “Root Square Mean Labeling of Graphs” Communicated to “International Journal of Contemporary Mathematical Sciences”
[5] Sandhya.S.S , Somasundaram.S, Anusa.S, “Some Results on Root Square Mean Graphs” Communicated to “Journal of Scientific Research”
[6] Sandhya.S.S , Somasundaram.S, Anusa.S, “Some More Results on Root Square Mean Graphs” Communicated to “Journal of Mathematics Research”
[7] Sandhya.S.S , Somasundaram.S , Anusa.S, “Further Results on Root Square mean Labeling” Communicated to “Bulletin of Pure and Applied Mathematics Sciences”
[8] Sandhya.S.S , Somasundaram.S , Anusa.S, “Root Square Mean Labeling of Some Disconnected Graphs” communicated to International Journal of Mathematical Combinatorics.
[9] Sandhya.S.S , Somasundaram.S , Anusa.S, “Root Square Mean Labeling of Some More Disconnected Graphs” communicated to The Journal of Indian Academy of Mathematics.

Citation :

S.S.Sandhya, S.Somasundaram, S.Anusa, "Root Square Mean Labeling of Some New Disconnected Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 15, no. 2, pp. 85-92, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V15P511