Harmonic Temperature Index of Certain
Nanostructures

Kishori P. Narayankar; Afework Teka Kahsay; Dickson Selvan

doi:https://doi.org/10.14445/22315373/IJMTT-V56P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 3 | Year 2018 | Article Id. IJMTT-V56P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P523

Harmonic Temperature Index of Certain Nanostructures

Kishori P. Narayankar, Afework Teka Kahsay, Dickson Selvan

Citation :

Kishori P. Narayankar, Afework Teka Kahsay, Dickson Selvan, "Harmonic Temperature Index of Certain Nanostructures," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 3, pp. 159-164, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P523

Abstract

In the study of𝑄𝑆𝑃𝑅/𝑄𝑆𝐴𝑅, topological indices such as Zagreb index, Harmonic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological indices, we propose here a new topological index, called the Harmonic temperature index 𝐻𝑇𝐼(𝐺) of a molecular graph 𝐺, which shows good correlation with entropy, acentric factor, enthalpy of vaporization and standard enthalpy of vaporization of an octane isomers. In this paper we compute the Harmonic temperature index 𝐻𝑇𝐼(𝐺)of line graphs of subdivision graphs of 2𝐷-lattice, nanotube and nanotorus of 𝑇𝑈𝐶4𝐶8 [𝑝, 𝑞].

Keywords

Temperature of a vertex, HarmonicTemperature index, nanostructures

References

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