Harmonic Mean Labeling Of Zig-Zag
Triangle graphs

S.Meena; M.Sivasakthi.

doi:https://doi.org/10.14445/22315373/IJMTT-V66I4P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 4 | Year 2020 | Article Id. IJMTT-V66I4P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I4P504

Harmonic Mean Labeling Of Zig-Zag Triangle graphs

S.Meena, M.Sivasakthi.

Abstract

A graph G with p vertices and q edges is called a harmonic mean graph if it is possible to label the vertixnodes XεV with distinct labels f(x) from { 1,2....q+1} in such a way that each edge e=uv is labeled with f(uv) = [2f(u)f(v)/f(u)+f(v)] or [2f(u)f(v)/f(u)+f(v)] then the edge labels are distinct. In this case f is called Harmonic mean labeling of G. In this paper we prove that some families of graphs such as zig-zag triangle of Z(Tn)⊙K1, Z(Tn)⊙ K bar2, Z(Tn)⊙K2, are harmonic mean graphs.

Keywords

Harmonic mean graph, zig-zag triangle of Z(Tn)⊙ K1, Z(Tn)⊙ K bar2, Z(Tn)⊙ K2.

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Citation :

S.Meena, M.Sivasakthi., "Harmonic Mean Labeling Of Zig-Zag Triangle graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 4, pp. 17-27, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I4P504