GEOMETRIC ARITHMETIC TEMPERATURE INDEX OF CERTAIN NANOSTRUCTURES

Main Article Content

Dickson Selvan
Kishori P Narayankar

Abstract

In the study of  topological indices such as Zagreb index, geometric arithmetic 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  geometric arithmetic temperature index  of a molecular graph , 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 geometric arithmetic temperature index  of line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of  TUC_4C_8[p,q].

Downloads

Download data is not yet available.

Article Details

How to Cite
Selvan, D., & Narayankar, K. P. (2018). GEOMETRIC ARITHMETIC TEMPERATURE INDEX OF CERTAIN NANOSTRUCTURES. Journal of Global Research in Mathematical Archives(JGRMA), 5(5), 07–13. Retrieved from https://jgrma.com/index.php/jgrma/article/view/458
Section
Research Paper

References

R. Todeschini, V. Consonni, Handbook of Molecular Descriptors (Wiley-VCH, Weinheim, 2000).

------------------------------------------------------------------------------

Devillers, J., Balaban, A.T. (eds.): Topological Indices and Related Descriptors in QSAR and QSPR. Gordon and Breach, Amsterdam (1999).

----------------------------------------------------------------------------------

Gutman, I., Furtula, B. (eds.): Novel Molecular Structure Descriptors Theory and Applications, vol. I-II. Univ. Kragujevac, Kragujevac (2010).

---------------------------------------------------------------------------------

Todeschini, R., Consonni, V.: Handbook of Molecular Descriptors. Wiley-VCH, Weinheim (2000).

---------------------------------------------------------------------------------

Caporossi, G., Hansen, P., Vukicevic, D.: Comparing Zagreb indices of cyclic graphs. MATCH Commun. Math. Comput. Chem. 63, 441451 (2010).

--------------------------------------------------------------------------------

Dobrynin, A.A., Kochetova, A.A.: Degre distance of a graph: a degree analogue of the Wiener index. J. Chem. Inf. Comput. Sci. 34, 10821086 (1994).

---------------------------------------------------------------------------------

Fath-Tabar, G.H.: Old and new Zagreb indices of graphs. MATCH Commun. Math. Comput. Chem. 65, 7984 (2011).

--------------------------------------------------------------------------------

Siemion Fajtlowicz, On Conjectures of Graffiti, Annals of Discrete Mathematics.

-------------------------------------------------------------------------------

D. Vukic ̂evic ̂, B. Furtula, Topological index based on the ratios of geometrical and arithmetical means of end–vertex degrees of edges, J. Math. Chem. 46 (2009) 1369–1376.

--------------------------------------------------------------------------------

Kishori P N, Dickson Selvan,: On Temperature Index of Certain Nanostructures (preprint).

-------------------------------------------------------------------------------