GEOMETRIC ARITHMETIC TEMPERATURE INDEX OF CERTAIN NANOSTRUCTURES
Main Article Content
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
Article Details
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal
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).
-------------------------------------------------------------------------------