Computing topological indices of the line graphs of Banana tree graph and Firecracker graph

[1]A. R. Ashrafi, T. Došlić and A. Hamzeh, (2015), The Zagreb coindices of graph operations, Discrete Applied Mathematics, 158, No 15, 1571-1578. 10.1016/j.dam.2010.05.017AshrafiA. R.DošlićT.HamzehA.2015The Zagreb coindices of graph operationsDiscrete Applied Mathematics158151571157810.1016/j.dam.2010.05.017Open DOISearch in Google Scholar

[2]A. Antuña, J. L. G. Guirao and M. A. López, (2015), Shannon-Whittaker-Kotel’nikov’s Theorem Generalized, MATCH Communications in Mathematical and in Computer Chemistry, 73, No 2, 385-396.AntuñaA.GuiraoJ. L. G.LópezM. A.2015Shannon-Whittaker-Kotel’nikov’s Theorem GeneralizedMATCH Communications in Mathematical and in Computer Chemistry73238539610.1007/s10910-019-01037-wSearch in Google Scholar

[3]M. Azari and A. Iranmanesh, (2014), Harary Index of Some Nano-Structures, MATCH Communications in Mathematical and in Computer Chemistry, 71, No 2, (2014), 373-382.AzariM.IranmaneshA.2014Harary Index of Some Nano-StructuresMATCH Communications in Mathematical and in Computer Chemistry7122014373382Search in Google Scholar

[4]B. Bollobás and P. Erdös, (1998), Graphs of extremal weights, Ars Combinatoria, 50, 225-233.BollobásB.ErdösP.1998Graphs of extremal weightsArs Combinatoria50225233Search in Google Scholar

[5]M. Teresa de Bustos Muñoz, J. L. G. Guirao and J. Vigo-Aguiar, (2014), Decomposition of pseudo-radioactive chemical products with a mathematical approach, Journal of Mathematical Chemistry, 52, No 4, 1059-1065. 10.1007/s10910-013-0285-xTeresa de Bustos MuñozM.GuiraoJ. L. G.Vigo-AguiarJ.2014Decomposition of pseudo-radioactive chemical products with a mathematical approachJournal of Mathematical Chemistry5241059106510.1007/s10910-013-0285-xOpen DOISearch in Google Scholar

[6]N. Cohen, D. Dimitrov, R. Krakovski, R. Škrekovski and V. Vukašinović, (2010), On Wiener Index of Graphs and Their Line Graphs, MATCH Communications in Mathematical and in Computer Chemistry, 64, No 3, 683-698.CohenN.DimitrovD.KrakovskiR.ŠkrekovskiR.VukašinovićV.2010On Wiener Index of Graphs and Their Line GraphsMATCH Communications in Mathematical and in Computer Chemistry643683698Search in Google Scholar

[7]D. Dimitrov, (2016), On structural properties of trees with minimal atom-bond connectivity index II: Bounds on B₁− and B2−branches, Discrete Applied Mathematics, 204, 90-116. 10.1016/j.dam.2015.10.010DimitrovD.2016On structural properties of trees with minimal atom-bond connectivity index II: Bounds on B₁− and B2−branchesDiscrete Applied Mathematics2049011610.1016/j.dam.2015.10.010Open DOISearch in Google Scholar

[8]D. Dimitrov, Z. Du, and Carlos M. da Fonseca, (2016), On structural properties of trees with minimal atom-bond connectivity index III: Trees with pendent paths of length three, Applied Mathematics and Computation, 282, 276-290. 10.1016/j.amc.2016.02.019DimitrovD.DuZ.da FonsecaCarlos M.2016On structural properties of trees with minimal atom-bond connectivity index III: Trees with pendent paths of length threeApplied Mathematics and Computation28227629010.1016/j.amc.2016.02.019Open DOISearch in Google Scholar

[9]M. Dehmer, F. Emmert-Streib and M. Grabner, (2014), A computational approach to construct a multivariate complete graph invariant, Information Sciences, 260, 200-208. 10.1016/j.ins.2013.11.008DehmerM.Emmert-StreibF.GrabnerM.2014A computational approach to construct a multivariate complete graph invariantInformation Sciences26020020810.1016/j.ins.2013.11.008Open DOISearch in Google Scholar

[10]A. A. Dobrynin and A. A. Kochetova, (1994), Degree Distance of a Graph: A Degree Analog of the Wiener Index, Journal of Chemical Information and Computer Sciences, 34, No 5, 1082-1086. 10.1021/ci00021a008DobryninA. A.KochetovaA. A.1994Degree Distance of a Graph: A Degree Analog of the Wiener IndexJournal of Chemical Information and Computer Sciences3451082108610.1021/ci00021a008Open DOISearch in Google Scholar

[11]K. Ch. Das and S. Sorgun, (2014), On Randić Energy of Graphs, MATCH Communications in Mathematical and in Computer Chemistry, 72, No 1, 227-238.DasK. Ch.SorgunS.2014On Randić Energy of GraphsMATCH Communications in Mathematical and in Computer Chemistry721227238Search in Google Scholar

[12]E. Estrada, L. Torres, L. Rodríguez and I. Gutman, (1998), An atom-bond connectivity index: Modelling the enthalpy of formation of alkanes, Indian Journal of Chemistry Section A, 37, No 10, 849-855.EstradaE.TorresL.RodríguezL.GutmanI.1998An atom-bond connectivity index: Modelling the enthalpy of formation of alkanesIndian Journal of Chemistry Section A3710849855Search in Google Scholar

[13]G. H. Fath-Tabar, (2011), Old and New Zagreb Indices of Graphs, MATCH Communications in Mathematical and in Computer Chemistry, 65, No 1, 79-84.Fath-TabarG. H.2011Old and New Zagreb Indices of GraphsMATCH Communications in Mathematical and in Computer Chemistry6517984Search in Google Scholar

[14]B. Furtula, A. Graovac and D. Vukičević, (2009), Atom-bond connectivity index of trees, Discrete Applied Mathematics, 157, No 13, 2828-2835. 10.1016/j.dam.2009.03.004FurtulaB.GraovacA.VukičevićD.2009Atom-bond connectivity index of treesDiscrete Applied Mathematics157132828283510.1016/j.dam.2009.03.004Open DOISearch in Google Scholar

[15]L. Feng, W. Liu, G. Yu and S. Li, (2014), The hyper-Wiener index of graphs with given bipartition, Utilitas Mathematica, 96, 99-108.FengL.LiuW.YuG.LiS.2014The hyper-Wiener index of graphs with given bipartitionUtilitas Mathematica9699108Search in Google Scholar

[16]T. Al-Fozan, P. Manuel, I. Rajasingh and R. Sundara Rajan, (2014), Computing Szeged Index of Certain Nanosheets Using Partition Technique, MATCH Communications in Mathematical and in Computer Chemistry, 72, No 1, 339-353.Al-FozanT.ManuelP.RajasinghI.Sundara RajanR.2014Computing Szeged Index of Certain Nanosheets Using Partition TechniqueMATCH Communications in Mathematical and in Computer Chemistry721339353Search in Google Scholar

[17]I. Gutman, (1994), Selected properties of the Schultz molecular topological index, Journal of Chemical Information and Computer Sciences, 34, No 5, 1087-1089. 10.1021/ci00021a009GutmanI.1994Selected properties of the Schultz molecular topological indexJournal of Chemical Information and Computer Sciences3451087108910.1021/ci00021a009Open DOISearch in Google Scholar

[18]I. Gutman and K. Ch. Das, (2004), The first Zagreb index 30 years after, MATCH Communications in Mathematical and in Computer Chemistry, 50, 83-92.GutmanI.DasK. Ch2004The first Zagreb index 30 years afterMATCH Communications in Mathematical and in Computer Chemistry508392Search in Google Scholar

[19]I. Gutman, B. Furtula, Ž. K. Vukićević and G. Popivoda, (2015), On Zagreb Indices and Coindices, MATCH Communications in Mathematical and in Computer Chemistry, 74, No 1, 5-16.GutmanI.FurtulaB.VukićevićŽ. K.PopivodaG.2015On Zagreb Indices and CoindicesMATCH Communications in Mathematical and in Computer Chemistry741516Search in Google Scholar

[20]M. Ghorbani and M. Ghazi, (2010), Computing some Topological Indices of Triangular Benzenoid, Digest Journal of Nanomaterials and Biostructures, 5, No 4, 1107-1111.GhorbaniM.GhaziM.2010Computing some Topological Indices of Triangular BenzenoidDigest Journal of Nanomaterials and Biostructures5411071111Search in Google Scholar

[21]A. Graovac, M. Ghorbani and M. A. Hosseinzadeh, (2011), Computing fifth geometric-arithmetic index for nanostar dendrimers, Journal of Mathematical Nanosciences, 1, No 1, 33-42.GraovacA.GhorbaniM.HosseinzadehM. A.2011Computing fifth geometric-arithmetic index for nanostar dendrimersJournal of Mathematical Nanosciences113342Search in Google Scholar

[22]M. Ghorbani and M. A. Hosseinzadeh, (2010), Computing ABC₄index of nanostar dendrimers, Optoelectronics and advanced materials – Rapid Communications, 4, No 9, 1419-1422.GhorbaniM.HosseinzadehM. A.2010Computing ABC₄ index of nanostar dendrimersOptoelectronics and advanced materials – Rapid Communications4914191422Search in Google Scholar

[23]M. Ghorbani and M. Jalili, (2009), Computing a New Topological Index of Nano Structures, Digest Journal of Nano-materials & Biostructures, 4, No 4, 681-685.GhorbaniM.JaliliM.2009Computing a New Topological Index of Nano StructuresDigest Journal of Nano-materials & Biostructures44681685Search in Google Scholar

[24]I. Gutman and N. Trinajstić, (1972), Graph theory and molecular orbitals. Total j−electron energy of alternant hydrocarbons, Chemical Physics Letters, 17, No 4, 535-538. 10.1016/0009-2614(72)85099-1GutmanI.TrinajstićN.1972Graph theory and molecular orbitals. Total j−electron energy of alternant hydrocarbonsChemical Physics Letters17453553810.1016/0009-2614(72)85099-1Open DOISearch in Google Scholar

[25]Y. Huo, J.-B. Liu, Z. Zahid, S. Zafar, M. R. Farahani and M. F. Nadeem, (2016), On Certain Topological Indices of the Line Graph of CNC_k[n] Nanocones, Journal of Computational and Theoretical Nanoscience, 13, No 7, 4318-4322. 10.1166/jctn.2016.5286HuoY.LiuJ. B.ZahidZ.ZafarS.FarahaniM. R.NadeemM. F.2016On Certain Topological Indices of the Line Graph of CNC_k[n] NanoconesJournal of Computational and Theoretical Nanoscience1374318432210.1166/jctn.2016.5286Open DOISearch in Google Scholar

[26]H. Hua and S. Zhang, (2012), Relations between Zagreb Coindices and Some Distance-Based Topological Indices, MATCH Communications in Mathematical and in Computer Chemistry, 68, No 1, 199-208.HuaH.ZhangS.2012Relations between Zagreb Coindices and Some Distance-Based Topological IndicesMATCH Communications in Mathematical and in Computer Chemistry681199208Search in Google Scholar

[27]A. Khosravanirad, (2013), A Lower Bound for Laplacian Estrada Index of a Graph, MATCH Communications in Mathematical and in Computer Chemistry, 70, No 1, 175-180.KhosravaniradA.2013A Lower Bound for Laplacian Estrada Index of a GraphMATCH Communications in Mathematical and in Computer Chemistry701175180Search in Google Scholar

[28]M. F. Nadeem, S. Zafar and Z. Zahid, (2015), On certain topological indices of the line graph of subdivision graphs, Applied Mathematics and Computation, 271, 790-794. 10.1016/j.amc.2015.09.061NadeemM. F.ZafarS.ZahidZ.2015On certain topological indices of the line graph of subdivision graphsApplied Mathematics and Computation27179079410.1016/j.amc.2015.09.061Open DOISearch in Google Scholar

[29]M. F. Nadeem, S. Zafar and Z. Zahid, (2016), On topological properties of the line graphs of subdivision graphs of certain nanostructures, Applied Mathematics and Computation, 273, 125-130. 10.1016/j.amc.2015.10.010NadeemM. F.ZafarS.ZahidZ.2016On topological properties of the line graphs of subdivision graphs of certain nanostructuresApplied Mathematics and Computation27312513010.1016/j.amc.2015.10.010Open DOISearch in Google Scholar

[30]M. Randić, (1975), Characterization of molecular branching, Journal of the American Chemical Society, 97, No 23, 6609-6615. 10.1021/ja00856a001RandićM.1975Characterization of molecular branchingJournal of the American Chemical Society97236609661510.1021/ja00856a001Open DOISearch in Google Scholar

[31]J. Rada and R. Cruz, (2014), Vertex-Degree-Based Topological Indices Over Graphs, MATCH Communications in Mathematical and in Computer Chemistry, 72, No 3, 603-616.RadaJ.CruzR.2014Vertex-Degree-Based Topological Indices Over GraphsMATCH Communications in Mathematical and in Computer Chemistry723603616Search in Google Scholar

[32]R. Nazir, S. Sardar, S. Zafar and Z. Zahid, (2016), Edge version of harmonic index and harmonic polynomial of some classes of graphs, Journal of Applied Mathematics & Informatics, 34, No 5-6, 479-486. 10.14317/jami.2016.479NazirR.SardarS.ZafarS.ZahidZ.2016Edge version of harmonic index and harmonic polynomial of some classes of graphsJournal of Applied Mathematics & Informatics345-647948610.14317/jami.2016.479Open DOISearch in Google Scholar

[33]S. M. Hosamani, (2016), Computing Sanskruti index of certain nanostructures, Journal of Applied Mathematics and Computing, 1-9. 10.1007/s12190-016-1016-9HosamaniS. M.2016Computing Sanskruti index of certain nanostructuresJournal of Applied Mathematics and Computing1910.1007/s12190-016-1016-9Open DOISearch in Google Scholar

[34]G. H. Shirdel, H. Rezapour and A. M. Sayadi, (2013), The Hyper-Zagreb Index of Graph Operations, Iranian Journal of Mathematical Chemistry, 4, No 2, 213-220.ShirdelG. H.RezapourH.SayadiA. M.2013The Hyper-Zagreb Index of Graph OperationsIranian Journal of Mathematical Chemistry42213220Search in Google Scholar

[35]R. Todeschini and V. Consonni, (2000), Handbook of Molecular Descriptors, Wiley-VCH Verlag GmbH, Weinheim. 10.1002/9783527613106TodeschiniR.ConsonniV.2000Handbook of Molecular DescriptorsWiley-VCH Verlag GmbHWeinheim10.1002/9783527613106Open DOISearch in Google Scholar

[36]D. Vukičević and B. Furtula, (2009), Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges, Journal of Mathematical Chemistry, 46, No 4, 1369-1376. 10.1007/s10910-009-9520-xVukičevićD.FurtulaB.2009Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edgesJournal of Mathematical Chemistry4641369137610.1007/s10910-009-9520-xOpen DOISearch in Google Scholar

[37]B. Zhou and N. Trinajstić, (2010), On general sum-connectivity index, Journal of Mathematical Chemistry, 47, No 1, 210-218. 10.1007/s10910-009-9542-4ZhouB.TrinajstićN.2010On general sum-connectivity indexJournal of Mathematical Chemistry47121021810.1007/s10910-009-9542-4Open DOISearch in Google Scholar