Computation of the fifth Geometric-Arithmetic Index for Polycyclic Aromatic Hydrocarbons PAH_k

[1]D.B. West. (1996), An Introduction to Graph Theory. Prentice-Hall.WestD.B.1996An Introduction to Graph TheoryPrentice-HallSearch in Google Scholar

[2]N. Trinajstic. (1992), Chemical Graph Theory. CRC Press, Bo ca Raton, FL.TrinajsticN.1992Chemical Graph TheoryCRC PressBoca Raton, FLSearch in Google Scholar

[3]R. Todeschini, V. Consonni. (2000), Handbook of Molecular Descriptors. Wiley, Weinheim.TodeschiniR.ConsonniV.2000Handbook of Molecular DescriptorsWileyWeinheim10.1002/9783527613106Search in Google Scholar

[4]M. Randic. (1975), On characterization of molecular branching, J. Amer. Chem. Soc., 97, 6609-6615. 10.1021/ja00856a001RandicM.1975On characterization of molecular branchingJ. Amer. Chem. Soc976609661510.1021/ja00856a001Open DOISearch in Google Scholar

[5]D. Vukicevic , B. Furtula. (2009), Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges, J. Math. Chem., 46, 1369-1376. 10.1007/s10910-009-9520-xVukicevicD.FurtulaB.2009Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edgesJ. Math. Chem461369137610.1007/s10910-009-9520-xOpen DOISearch in Google Scholar

[6]G.H. Fath-Tabar, B. Furtula, I. Gutman. (2010), A new geometric-arithmetic index, J. Math. Chem., 47, 477-486. 10.1007/s10910-009-9584-7Fath-TabarG.H.FurtulaB.GutmanI.2010A new geometric-arithmetic indexJ. Math. Chem4747748610.1007/s10910-009-9584-7Open DOISearch in Google Scholar

[7]B. Zhou, I. Gutman, B. Furtula, Z. Du. (2009), On two types of geometric-arithmetic index, Chem. Phys. Lett., 482, 153-155. 10.1016/j.cplett.2009.09.102ZhouB.GutmanI.FurtulaB.DuZ.2009On two types of geometric-arithmetic indexChem. Phys. Lett48215315510.1016/j.cplett.2009.09.102Open DOISearch in Google Scholar

[8]M. Ghorbani, A. Khaki. (2010), A note on the fourth version of geometric-arithmetic index, Optoelectron. Adv. Mater.-Rapid Comm., 4, 2212-2215.GhorbaniM.KhakiA.2010A note on the fourth version of geometric-arithmetic indexOptoelectron. Adv. Mater.-Rapid Comm422122215Search in Google Scholar

[9]A. Graovac, M. Ghorbani, M.A. HosseinZadeh. (2011), Computing fifth geometric-arithmetic index for nanostar dendrimers, Journal of Mathematical NanoScience, 1, 33-42.GraovacA.GhorbaniM.HosseinZadehM.A.2011Computing fifth geometric-arithmetic index for nanostar dendrimersJournal of Mathematical NanoScience13342Search in Google Scholar

[10]D. Vukicevic, B. Furtula. (2009), Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges, J. Math. Chem., 46, 1369-1376. 10.1007/s10910-009-9520-xVukicevicD.FurtulaB.2009Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edgesJ. Math. Chem461369137610.1007/s10910-009-9520-xOpen DOISearch in Google Scholar

[11]M.R. Farahani. (2012), Computing some connectivity indices of nanotubes, Advances in Materials and Corrosion, 1, 57-60.FarahaniM.R.2012Computing some connectivity indices of nanotubesAdvances in Materials and Corrosion15760Search in Google Scholar

[12]M.R. Farahani. (2013), Fifth geometric-arithmetic index of TURC₄C₈(S) nanotubes, Journal of Chemica Acta, 2(1), 62-64.FarahaniM.R.2013Fifth geometric-arithmetic index of TURC₄C₈(S) nanotubesJournal of Chemica Acta216264Search in Google Scholar

[13]L. Xiao, S. Chen, Z. Guo, Q. Chen. (2010), The geometric-arithmetic index of benzenoid systems and phenylenes, Int. J. Contemp. Math. Sciences, 5(45), 2225-2230.XiaoL.ChenS.GuoZ.ChenQ.2010The geometric-arithmetic index of benzenoid systems and phenylenesInt. J. Contemp. Math. Sciences54522252230Search in Google Scholar

[14]M.R. Farahani. (2013), Computing Randic, geometric-arithmetic and atom-bond connectivity indices of circumcoronene series of benzenoid, Int. J. Chem. Model, 5(4), 485-493.FarahaniM.R.2013Computing Randic, geometric-arithmetic and atom-bond connectivity indices of circumcoronene series of benzenoidInt. J. Chem. Model54485493Search in Google Scholar

[15]S. Moradi, S. Babaranim, M. Ghorbani. (2011), Two types of geometric-arithmetic index of V–phenylenic nanotube, Iranian Journal of Mathematical Chemistry, 2(2), 109-117.MoradiS.BabaranimS.GhorbaniM.2011Two types of geometric-arithmetic index of V–phenylenic nanotubeIranian Journal of Mathematical Chemistry22109117Search in Google Scholar

[16]H. Hua. (2010), Trees with given diameter and minimum second geometric-arithmetic index, MATCH Commun. Math. Comput. Chem., 64, 631-638.HuaH.2010Trees with given diameter and minimum second geometric-arithmetic indexMATCH Commun. Math. Comput. Chem64631638Search in Google Scholar

[17]F. Dietz, N. Tyutyulkov, G. Madjarova, K. Müllen. (2000), Is 2-D graphite an ultimate large hydrocarbon? II. structure and energy spectra of polycyclic aromatic hydrocarbons with defects, J. Phys. Chem. B, 104(8), 1746-1761. 10.1021/jp9928659DietzF.TyutyulkovN.MadjarovaG.MüllenK.2000Is 2-D graphite an ultimate large hydrocarbon? II. structure and energy spectra of polycyclic aromatic hydrocarbons with defectsJ. Phys. Chem. B10481746176110.1021/jp9928659Open DOISearch in Google Scholar

[18]A. Soncini, E. Steiner, P.W. Fowler, R.W.A. Havenith. (2003), Perimeter effects on ring currents in polycyclic aromatic hydrocarbons: circumcoronene and two hexabenzocoronenes, Chemistry European Journal, 9(13), 2974-2981. 10.1002/chem.200204183SonciniA.SteinerE.FowlerP.W.HavenithR.W.A.2003Perimeter effects on ring currents in polycyclic aromatic hydrocarbons: circumcoronene and two hexabenzocoronenesChemistry European Journal9132974298110.1002/chem.200204183Open DOISearch in Google Scholar

[19]K. Jug, T. Bredow. (2004), Models for the treatment of crystalline solids and surfaces, Journal of Computational Chemistry, 25(3), 1551-1567. 10.1002/jcc.20080JugK.BredowT.2004Models for the treatment of crystalline solids and surfacesJournal of Computational Chemistry2531551156710.1002/jcc.2008015264250Open DOISearch in Google Scholar

[20]M.K. Jamil, M.R. Farahani, M.R. Rajesh Kanna. (2016), Foruth geometric-arithmetic index of polycyclic aromatic hydrocarbons (PAHk), The Pharmaceutical and Chemical Journal, 3(1), 94-99.JamilM.K.FarahaniM.R.Rajesh KannaM.R.2016Foruth geometric-arithmetic index of polycyclic aromatic hydrocarbons (PAHk)The Pharmaceutical and Chemical Journal319499Search in Google Scholar

[21]M.R. Farahani, H.M. Rehman, M.K. Jamil, D.W. Lee. (2016), Vertiex version of PI index of polycyclic aromatic hydrocarbons, The Pharmaceutical and Chemical Journal, 3(1), 138-141.FarahaniM.R.RehmanH.M.JamilM.K.LeeD.W.2016Vertiex version of PI index of polycyclic aromatic hydrocarbonsThe Pharmaceutical and Chemical Journal31138141Search in Google Scholar

[22]M.R. Farahani. (2013), Some connectivity indices of polycyclic aromatic hydrocarbons PAHs, Advances in Materials and Corrosion, 1, 65-69.FarahaniM.R.2013Some connectivity indices of polycyclic aromatic hydrocarbons PAHs, Advances in Materials and Corrosion16569Search in Google Scholar

[23]M.R. Farahani. (2013), Zagreb indices and Zagreb polynomials of polycyclic aromatic hydrocarbons, Journal of Chemica Acta, 2, 70-72.FarahaniM.R.2013Zagreb indices and Zagreb polynomials of polycyclic aromatic hydrocarbonsJournal of Chemica Acta27072Search in Google Scholar

[24]M.R. Farahani. (2013), Hosoya, Schultz, modified Schultz polynomials and their topological indices of benzene molecules: first members of polycyclic aromatic hydrocarbons (PAHs), International Journal of Theoretical Chemistry, 1(2), 09-16.FarahaniM.R.2013Hosoya, Schultz, modified Schultz polynomials and their topological indices of benzene molecules: first members of polycyclic aromatic hydrocarbons (PAHs)International Journal of Theoretical Chemistry12091610.18052/www.scipress.com/ILCPA.32.1Search in Google Scholar

[25]M.R. Farahani. (2014), Schultz and modified Schultz polynomials of coronene polycyclic aromatic hydrocarbons, Int. Letters of Chemistry, Physics and Astronomy, 13, 1-10.FarahaniM.R.2014Schultz and modified Schultz polynomials of coronene polycyclic aromatic hydrocarbonsInt. Letters of Chemistry, Physics and Astronomy1311010.18052/www.scipress.com/ILCPA.32.1Search in Google Scholar

[26]W. Gao, M.R. Farahani (2015), Degree-based indices computation for special chemical molecular structures using edge dividing method, Applied Mathematics and Nonlinear Sciences, 1(1), 94-117. 10.21042/AMNS.2016.1.00009GaoW.FarahaniM.R.2015Degree-based indices computation for special chemical molecular structures using edge dividing methodApplied Mathematics and Nonlinear Sciences119411710.21042/AMNS.2016.1.00009Open DOISearch in Google Scholar

[27]M.R. Farahani. (2015), Exact formulas for the first Zagreb eccentricity index of polycyclic aromatic hydrocarbons (PAHs), Journal of Applied Physical Science International, 4, 185-190.FarahaniM.R.2015Exact formulas for the first Zagreb eccentricity index of polycyclic aromatic hydrocarbons (PAHs)Journal of Applied Physical Science International4185190Search in Google Scholar

[28]M.R. Farahani. (2015), The second Zagreb eccentricity index of polycyclic aromatic hydrocarbons PAHk, Journal of Computational Methods in Molecular Design, 5(2), 115-120.FarahaniM.R.2015The second Zagreb eccentricity index of polycyclic aromatic hydrocarbons PAHkJournal of Computational Methods in Molecular Design52115120Search in Google Scholar

[29]M.R. Farahani, W. Gao, M.R. Rajesh Kanna. (2015), On the Omega polynomial of a family of hydrocarbon molecules polycyclic aromatic hydrocarbons PAHk, Asian Academic Research Journal of Multidisciplinary, 2(7), 263-268.FarahaniM.R.GaoW.Rajesh KannaM.R.2015On the Omega polynomial of a family of hydrocarbon molecules polycyclic aromatic hydrocarbons PAHkAsian Academic Research Journal of Multidisciplinary27263268Search in Google Scholar

[30]M.R. Farahani, W. Gao. (2015), On multiple Zagreb indices of polycyclic aromatic hydrocarbons PAH, Journal of Chemical and Pharmaceutical Research, 7(10), 535-539.FarahaniM.R.GaoW.2015On multiple Zagreb indices of polycyclic aromatic hydrocarbons PAHJournal of Chemical and Pharmaceutical Research710535539Search in Google Scholar

[31]M.R. Farahani, W. Gao. (2015), Theta polynomial W(G,x) and Theta index W(G) of polycyclic aromatic hydrocarbons PAHk, Journal of Advances in Chemistry, 12(1), 3934-3939.FarahaniM.R.GaoW.2015Theta polynomial W(G,x) and Theta index W(G) of polycyclic aromatic hydrocarbons PAHkJournal of Advances in Chemistry1213934393910.24297/jac.v12i1.847Search in Google Scholar

[32]M.R. Farahani, M.R. Rajesh Kanna. (2015), The PI polynomial and the PI index of a family hydrocarbons molecules, Journal of Chemical and Pharmaceutical Research, 7(11), 253-257.FarahaniM.R.Rajesh KannaM.R.2015The PI polynomial and the PI index of a family hydrocarbons moleculesJournal of Chemical and Pharmaceutical Research711253257Search in Google Scholar

[33]M.R. Farahani, W. Gao, M.R. Rajesh Kanna. (2015), The edge-Szeged index of the polycyclic aromatic hydrocarbons PAHk, Asian Academic Research Journal of Multidisciplinary, 2(7), 136-142.FarahaniM.R.GaoW.Rajesh KannaM.R.2015The edge-Szeged index of the polycyclic aromatic hydrocarbons PAHkAsian Academic Research Journal of Multidisciplinary27136142Search in Google Scholar

[34]M.R. Farahani, M.R. Rajesh Kanna. (2015), The edge-PI index of the polycyclic aromatic hydrocarbons PAHk, Indian Journal of Fundamental and Applied Life Sciences, 5(S4), 614-617.FarahaniM.R.Rajesh KannaM.R.2015The edge-PI index of the polycyclic aromatic hydrocarbons PAHkIndian Journal of Fundamental and Applied Life Sciences5S4614617Search in Google Scholar

[35]M.K. Jamil, H.M. Rehman, M.R. Farahani, D.W. Lee. (2016), Vertex PI index of polycyclic aromatic hydrocarbons PAHk, The Pharmaceutical and Chemical Journal, 3(1), 138-141.JamilM.K.RehmanH.M.FarahaniM.R.LeeD.W.2016Vertex PI index of polycyclic aromatic hydrocarbons PAHkThe Pharmaceutical and Chemical Journal3113814110.21042/AMNS.2016.1.00019Search in Google Scholar

[36]M.R. Farahani, M.K. Jamil, M.R. Rajesh Kanna. (2016), Fourth geometric arithmetic index of polycyclic aromatic hydrocarbons (PAHk), The Pharmaceutical and Chemical Journal, 3(1), 1-6.FarahaniM.R.JamilM.K.Rajesh Kanna2016Fourth geometric arithmetic index of polycyclic aromatic hydrocarbons (PAHk)The Pharmaceutical and Chemical Journal3116Search in Google Scholar

[37]M.R. Farahani, M.K. Jamil, M.R. Rajesh Kanna, P.R. Kumar. (2016), The second Zagreb eccentricity index of poly-cyclic aromatic hydrocarbons PAHk, Journal of Chemical and Pharmaceutical Research, 8(4), 80-83.FarahaniM.R.JamilM.K.Rajesh KannaM.R.KumarP.R.2016The second Zagreb eccentricity index of poly-cyclic aromatic hydrocarbons PAHkJournal of Chemical and Pharmaceutical Research848083Search in Google Scholar

[38]M.R. Farahani, M.K. Jamil, M.R. Rajesh Kanna, P.R. Kumar. (2016), Computation on the fourth Zagreb index of polycyclic aromatic hydrocarbons (PAHk), Journal of Chemical and Pharmaceutical, 8(4), 41-45.FarahaniM.R.JamilM.K.Rajesh KannaM.R.KumarP.R.2016Computation on the fourth Zagreb index of polycyclic aromatic hydrocarbons (PAHk)Journal of Chemical and Pharmaceutical844145Search in Google Scholar

[39]D.W. Lee, M.K. Jamil, M.R. Farahani, H.M. Rehman. (2016), The ediz eccentric connectivity index of polycyclic aromatic hydrocarbons PAHk, Scholars Journal of Engineering and Technology, 4(3), 148-152.LeeD.W.JamilM.K.FarahaniM.R.RehmanH.M.2016The ediz eccentric connectivity index of polycyclic aromatic hydrocarbons PAHkScholars Journal of Engineering and Technology43148152Search in Google Scholar

[40]L. Yan, Y. Li, M.R. Farahani, M. Imran, M.R. Rajesh Kanna. (2016), Computing the Szeged, revised Szeged and normalized revised Szeged indices of the polycyclic aromatic hydrocarbons PAHk, Journal of Computational and Theoretical Nanoscience, In press.YanL.LiY.FarahaniM.R.ImranM.Rajesh KannaM.R.2016Computing the Szeged, revised Szeged and normalized revised Szeged indices of the polycyclic aromatic hydrocarbons PAHkJournal of Computational and Theoretical Nanoscience, In press10.1166/jctn.2016.6056Search in Google Scholar

[41]M. Jamil, M.R. Farahani, M. Ali Malik, M. Imran. (2016), Computing the eccentric version of second Zagreb index of polycyclic aromatic hydrocarbons (PAHk), Applied Mathematics and Nonlinear Sciences, 1(1), 247-251. doi10.21042/AMNS.2016.1.00019JamilM.FarahaniM.R.Ali MalikM.ImranM.2016Computing the eccentric version of second Zagreb index of polycyclic aromatic hydrocarbons (PAHk)Applied Mathematics and Nonlinear Sciences1124725110.21042/AMNS.2016.1.00019Open DOISearch in Google Scholar

[42]S. Klavzar. (2008), A bird’s eye view of the cut method and a survey of its applications in chemical graph theory, MATCH Commun. Math. Comput. Chem., 60, 255-274.KlavzarS.2008A bird’s eye view of the cut method and a survey of its applications in chemical graph theoryMATCH Commun. Math. Comput. Chem60255274Search in Google Scholar

[43]M.R. Farahani. (2013), Computing eccentricity connectivity polynomial of circumcoronene series of benzenoid H_k by ring-cut method, Annals of West University of Timisoara-Mathematics and Computer Science, 51(2), 29-37. 10.2478/awutm-2013-0013FarahaniM.R.2013Computing eccentricity connectivity polynomial of circumcoronene series of benzenoid H_k by ring-cut methodAnnals of West University of Timisoara-Mathematics and Computer Science512293710.2478/awutm-2013-0013Open DOISearch in Google Scholar