On Some Topological Indices of Tensor Product Graphs

K.V.S.Sarma; I.V.N. Uma & I.H.N.Rao

doi:https://doi.org/10.14445/22315373/IJMTT-V64P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 64 | Number 1 | Year 2018 | Article Id. IJMTT-V64P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P506

On Some Topological Indices of Tensor Product Graphs

K.V.S.Sarma, I.V.N. Uma & I.H.N.Rao

Abstract

A topological Index of a graph is a real numbers associated with the graph that is invariant under its automorphisms. The elementary topological indices are numbers of vertices and edges of a finite graph. The well-known one is Wiener Index due to Wiener [4 ]. It has wide applicability in molecular chemistry.

Keywords

Wiener Index, Geometric Arithmetic degree, Squared Geometric Arithmetic degree

References

[1] Bondy J.A., and Murthy U.S.R., Graph Theory with Applications, North Holand, NewYork, 1976.
[2] Mogharrab, H.E., Fath –Tabar, G.H.: Some bounds on GA1, Index of Graphs, MATCH Commun,Math, Comput.Chem 65 (2011) , 33-38.
[3] Sampath Kumar E, On Tensor Product graphs, International Jour., Hust, Math.Soc.,(20)(Serin) (1975), 268 – 273.
[4] Sarma K.V.S., Some Contributions in Graph Theory, Ph.D. Thesis, Dravidian Univ., Kuppam, 2009 (Awarded 2015).
[5] Wiener, H., Structural determination of Paraffin Boiling Points, Hour.Amer.Chemi.Soc.,69 (1947), 17-20.

Citation :

K.V.S.Sarma, I.V.N. Uma & I.H.N.Rao, "On Some Topological Indices of Tensor Product Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 1, pp. 37-45, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P506