Topological Indices And Topological Polynomials of Triangular Benzenoid System

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-6
Year of Publication : 2021
Authors : N.K.Raut
  10.14445/22315373/IJMTT-V67I6P511

MLA

MLA Style: N.K.Raut  "Topological Indices And Topological Polynomials of Triangular Benzenoid System" International Journal of Mathematics Trends and Technology 67.6 (2021):90-96. 

APA Style: N.K.Raut(2021). Topological Indices And Topological Polynomials of Triangular Benzenoid System International Journal of Mathematics Trends and Technology, 90-96.

Abstract
Degree-based topological indices of benzenoid system are widely studied due to its use as an intermediate to make various synthetic compounds. Topological polynomials give topological indices which are used in QSPR/QSAR study. In this paper ABC4(G), GA5(G), fourth, fifth Zagreb indices,first and second forgotten polynomials and topological indices of triangular benzenoid system are studied.

Reference

[1] M.R.R. Kanna,R.P. Kumar,and R.Jagdeep, Computation of topological indices of Dutch Windmill Graphs,OJDM,Vol.6,No.2,April (2016) 74-81.
[2] S.Amin,M.A.U.Rehman,M.S.Aldemir,M.Cancan,and M.R.Farahani, M.polynomial and degree based topological indices and line graph of hex board graph,Eurasian Chemical Communications,Vol.2,Issue 12(2020) 1156-1163.
[3] R.C.Jagdeesh,R.S.Indumathi,and M.R.Rajesh Kanna, Some results on topological indiecs of graphene,Nanomaterials and Nanotechnology,Vol.6,SAGE,September (2016) 1-6.
[4] Rouvray,Dennis H “The rich legacy of half a century of of the Wiener index”, Rouvray,Dennish.,King Robert Bruce (eds.),Topology in Chemistry Discrete Mathematics of Molecules, Horwood Publishing Series,(2002) 16-37.
[5] H.Wiener, “Structure determination of paraffin boiling points”, Journal of the American Chemical Society, 1(69)(1947) 17-20.
[6] F.Afzal,D.Afzal,A.Q.Baig,M.R.Farahani,M.Canan,and S.Ediz,The first and second Zagreb polynomials and Forgotten polynomial of Cm x Cn,Eurasian Chemical Communication,29(2020) 1183-1187.
[7] V.R.Kulli, New Arithmetic–geometric indices, Annals of Pure and Applied Mathematics,Volume 13,No.2(2017) 165-172.
[8] S.Prabhu,G.Murugan,and K.S.Sudhakar, On the New topological index of certain nanostructures using combinatorial computation, Journal of Computer and mathematical sciences, Vol.9(9),September (2018) 1257-1265.
[9] M.Ghorbani,and M.Jalali, Computing a new topological index of nanostructures, Digest Journal of Nanomaterials and Biostructures,Vol.4,No.4,December (2009) 681-685.
[10] M.S.Abdelgader,C.Wang,S.A.Mohammed, Computation of Topological indices of some special graphs, Mathematics, MDPI,6 (2018) 1-15.
[11] Z.Foruzanfar,F.Asif,Z.Zahid,S.Zafar,and M.R.Farahani, ABC4 and GA5 indices of parafine graph of some convex polytopes,Stat.Optim.Inf,Comput.,Vol.7,March (2019) 192-197.
[12] S.Hayat,and M.Imran, On degree based topological indices of certain nanotubes, Journal of Computational and Theoretical nanoscience,ASP,Vol.12 (2015) 1-7.
[13] N.K.Raut,and G.K.Sanap,F-indices and F-polynomials for nanocones CNCk[n],IOSR Journal of Physics,Vol.11,Issue 5,Ser.1,Sept-Oct (2019) 64-67.
[14] V.R.Kulli, Some New Kulli-Basava topological indices, Earthline Journal of Mathematical Sciences, Vol.2,No.2,October (2019) 343-354.
[15] Z.S.Mutti,A.Amin,A.Wajid,S.Choudhari,H.Iqbal,and N.Ali,On Sankruti and Harmonic indices of a certain graph structure,International Journal of Advanced and Applied Sciences,7(2)(2020) .(2002) 1-8.
[16] V.R.Kulli, The (a, b)Kulli-Basava index of graphs,International of Engineering Sciences and research technology,8(12),December (2019) 1-11.
[17] H.L.Parashivmurthy,M.R.RajeshKanna,and R.Jagdeesh, Topologcial indices of nicotine,IOSR Journal of Engineering, Vol.9,Issue 1,January ||V(II)||(2019) 20-28.
[18] M.A.Iranmanesh.,and M.Saheli,.Harmonic index and Harmonic polynomial of Caterpillars with diameter four, Iranian Journal of Mathematical Chemistry,5(2)(2014) 35-43.
[19] G.Keerthi Mirajkar,and B.Pooja, On Gaurava indices of some chemical graphs, International Journal of Applied Engineering Research ,Volume 14,No.3,(2019) 743-749.
[20] M.Ghorbani,A.Azad,and M.Ghasemi, Eccentric connectivity polynomial of triangular benzenoid, Optoectronics and Advanced Materials-Rapid Communications,Vol.4,No.8,August (2010) 1268-1269.
[21] R.Todeschini,and V.Consonni,Handbook of Molecular Descriptors,Wiley-VCH,Weinheim,(2000).
[22] N.Trinajstic,Chemical Graph Theory,CRC Press,Boca Raton,FL (1992).
[23] J.A.Bondy, U.S.R.Murthy, Graph Theory with Applications, Macmillan London and Elsevier, New York (1976).
[24] W.Gao,M.K.jamil,W.Nazeer,and M.Amin, Degree based multiplicative Atom-bond connectivity index of nanostructues,IAENG Intenational Journal of Applied Mathematics,47:4,17,17 November (2017) 1-10.
[25] A.R.Bindusree, I.N.Gangul,V.Lokesha,and A.S.Cevik,Zagreb polynomials of three graph operations,Filamot;30(7)(2016) 1979-1986.
[26] W.Gao,M.K.Siddiqi,M.Imran,M.K.Jamil,and M.R.Farahani,Forgotten topological index of chemical structure in drugs,Saudi Pharmaceutical Journal,Vol.24,Issue 3,May (2016) 258-264.

Keywords : ABC4(G), GA5(G), F-polynomial, F-index, Zagreb index.