Super Geometric Mean Labeling On Double Triangular Snakes

S.S.Sandhya; E. Ebin Raja Merly; B. Shiny

doi:https://doi.org/10.14445/22315373/IJMTT-V17P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 1 | Year 2015 | Article Id. IJMTT-V17P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P501

Super Geometric Mean Labeling On Double Triangular Snakes

S.S.Sandhya, E. Ebin Raja Merly, B. Shiny

Abstract

Let f: V(G) → {1,2,…,p+q} be an injective function. For a vertex labeling “f” the induced edge labeling f* (e=uv) is defined by, f* (e) = ⌈√(f(u)f(v) )⌉ or ⌊√(f(u)f(v) )⌋.Then f is called a Super Geometric mean labeling if {f(V(G))} U {f(e):e ε E(G)} = {1,2,…,p+q}, A graph which admits Super Geometric mean labeling is called Super Geometric mean graph. In this paper, we prove that Double Triangular Snakes and Alternate Double Triangular Snake graphs and Super Geometric mean graphs.

Keywords

Graph, Geometric mean graph, Super Geometric mean graph, Double Triangular snake, Alternate Double Triangular snake.

References

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[5] Somasundaram. S. Ponraj.R and Vidhyarani.P “Geometric mean labeling of graphs” Bulletin of Pure and Applied Sciences 30 E(2) (2011) p.153-160.

Citation :

S.S.Sandhya, E. Ebin Raja Merly, B. Shiny, "Super Geometric Mean Labeling On Double Triangular Snakes," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 1, pp. 1-8, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P501