Volume: 54 Issue: 3
Year: 2023, Page: 1-10, Doi: https://doi.org/10.61649/kujos/v54i3.basanagouda
Received: Aug. 10, 2022 Accepted: Feb. 22, 2023 Published: Nov. 1, 2023
In this note, we introduce the higher-ordered first and second Gourava indices of a molecular graph. In particular, we compute the second ordered first and second Gourava indices of some standard class of graphs and line graph of subdivision graph of 2D-lattice, nanotube and nanotorus of TU C4C8[p;q]. Furthermore, we study the linear regression analysis of the second ordered first and second Gourava indices with the entropy, acentric factor, enthalpy of vaporization and standard enthalpy of vaporization of an octane isomers.
Keywords: Topological indices; Line graph; Subdivision graph; Nanostructure
Basavanagoud B, Patil S, Deng H. On the second order first Zagreb index. Iranian J. Math. Chem. 2017;8(3):299–311. Available from: https://ijmc.kashanu.ac.ir/article_49784_8354f7dae388f810624e8396d0fc4b3a.pdf
Gutman I, Trinajstic N. Total -electron energy of alternant hydrocarbons. Chem. Phys. Lett. 1972;17(4):535–538.
Kier LB, Murray WJ, Randiċ M, Hall LH. Molecular Connectivity V: Connectivity Series Concept Applied to Density. Journal of Pharmaceutical Sciences. 1976;65(8):1226–1230. Available from: https://doi.org/10.1002/jps.2600650824
Kier LB, Hall L. Molecular Connectivity in Chemistry and Drug Research. Academic Press. 1976.
Li X, Zhao H. Trees with the first three smallest and largest generalized topological indices. MATCH Commun. Math. Comput. Chem. 2004;50:57–62. Available from: https://match.pmf.kg.ac.rs/electronic_versions/Match50/match50_57-62.pdf
Nikmehr MJ, Veylaki M, Soleimani N. Some topological indices of V-phenylenic nanotube and nanotori, Optoelectron. Adv. Mater. Rapid Comm. 2015;9(9):1147–1149.
Kulli VR. The Gourava Indices and Coindices of Graphs. Annals of Pure and Applied Mathematics. 2014;14(1):33–38.
Randić M. Characterization of molecular branching. J. Am. Chem. Soc. 1975;97(23):6609–6615. Available from: https://doi.org/10.1021/ja00856a001
Basavanagoud B, Desai VR, Patil S. (β ,α)−Connectivity Index of Graphs. Appl. Math. Nonlinear Sci. 2017;2(1):21–30. Available from: https://doi.org/10.21042/AMNS.2017.1.00003
Caen Dd. An upper bound on the sum of squares of degrees in a graph. Discrete Mathematics. 1998;185(1-3):245–248. Available from: https://doi.org/10.1016/S0012-365X(97)00213-6
Das KC. Maximizing the sum of the squares of the degrees of a graph. Discrete Mathematics. 2004;285(1-3):57–66. Available from: https://doi.org/10.1016/j.disc.2004.04.007
Kulli VR. Neighborhood indices of nanostructures. Int. J. Curr. Res. Sci. Technol. 2019;5(3):1–14.
Nadeema MF, Zafar S, Zahidb Z. On topological properties of the line graphs of subdivision graphs of certain nanostructures. Appl. Math. Comput. 2016;273:125–130. Available from: https://doi.org/10.1016/j.amc.2015.10.010
Nadeem MF, Zafar S, Zahid Z. On certain topological indices of the line graph of subdivision graphs. Applied Mathematics and Computation. 2015;271:790–794. Available from: https://doi.org/10.1016/j.amc.2015.09.061
Ranjini PS, Lokesha V, Cangül IN. On the Zagreb indices of the line graphs of the subdivision graphs. Applied Mathematics and Computation. 2011;218(3):699–702. Available from: https://doi.org/10.1016/j.amc.2011.03.125
B Basavanagoud, Goutam Veerapur. Chemical Applicability of Second Ordered First and Second Gourava Indices. Karnatak University Journal of Science 54(3), (2023), 1–10. https://doi.org/10.61649/kujos/v54i3.basanagouda