Computing First Zagreb index and F-index of New C-products of Graphs

[1]M. An, L. Xiong, K. C. Das, Two upper bounds for the degree distances of four sums of graphs, Filomat, 28(3) (2014) 579–590.AnM.XiongL.DasK. C.Two upper bounds for the degree distances of four sums of graphsFilomat283201457959010.2298/FIL1403579ASearch in Google Scholar

[2]B. Basavanagoud, I. Gutman, V. R. Desai, Zagreb indices of generalized transformation graphs and their complements, Kragujevac J. Sci.37 (2015) 99-112.BasavanagoudB.GutmanI.DesaiV. R.Zagreb indices of generalized transformation graphs and their complementsKragujevac J. Sci3720159911210.5937/KgJSci1537099BSearch in Google Scholar

[3]B. Basavanagoud, S. Patil, A note on hyper-Zagreb index of graph operations, Iranian J. Math. Chem.7 (1), (2016) 89–92.BasavanagoudB.PatilS.A note on hyper-Zagreb index of graph operationsIranian J. Math. Chem712016899210.1007/s12190-016-0986-ySearch in Google Scholar

[4]B. Basavanagoud, S. Patil, A note on hyper-Zagreb coindex of graph operations, J. Appl. Math. Comput., 53 (2017) 647–655.BasavanagoudB.PatilS.A note on hyper-Zagreb coindex of graph operationsJ. Appl. Math. Comput53201764765510.1007/s12190-016-0986-ySearch in Google Scholar

[5]B. Basavanagoud, S. Patil, The hyper-Zagreb index of four operations on graphs, Math. Sci. Lett., 6(2) (2017) 193–198.BasavanagoudB.PatilS.The hyper-Zagreb index of four operations on graphsMath. Sci. Lett.62201719319810.18576/msl/060212Search in Google Scholar

[6]B. Basavanagoud, S. Patil, Generalized four new sums of graphs and their Zagreb indices, communicated.BasavanagoudB.PatilS.Generalized four new sums of graphs and their Zagreb indices, communicatedSearch in Google Scholar

[7]A. Deng, A. Kelmans, J. Meng, Laplacian spectra of regular graph transformations, Discrete Appl. Math., 161 (2013) 118–133.DengA.KelmansA.MengJ.Laplacian spectra of regular graph transformationsDiscrete Appl. Math161201311813310.1016/j.dam.2012.08.020Search in Google Scholar

[8]H. Deng, D. Sarala, S. K. Ayyaswamy, S. Balachandran, The Zagreb indices of four operations on graphs, Appl. Math. Comput.275 (2016) 422–431.DengH.SaralaD.AyyaswamyS. K.BalachandranS.The Zagreb indices of four operations on graphsAppl. Math. Comput.275201642243110.1016/j.amc.2015.11.058Search in Google Scholar

[9]M. Eliasi, B. Taer, Four new sums of graphs and their Wiener indices, Discrete Appl. Math., 157 (2009) 794–803.EliasiM.TaerB.Four new sums of graphs and their Wiener indicesDiscrete Appl. Math157200979480310.1016/j.dam.2008.07.001Search in Google Scholar

[10]F. Furtula, I. Gutman, A forgotten topological index, J. Math. Chem., 53 (2015) 1184–1190.FurtulaF.GutmanI.A forgotten topological indexJ. Math. Chem5320151184119010.1007/s10910-015-0480-zSearch in Google Scholar

[11]W. Gao, L. Yan, L. Shi, Generalized Zagreb index of polyomino chains and nanotubes, Optoelectronics and Advanced Materials-Rapid Communications, 11 (1-2) (2017) 119–124.GaoW.YanL.ShiL.Generalized Zagreb index of polyomino chains and nanotubesOptoelectronics and Advanced Materials-Rapid Communications111-22017119124Search in Google Scholar

[12]W. Gao, M. K. Siddiqui, Molecular descriptors of nanotube, oxide, silicate, and triangulene networks, J. Chem., Volume 2017, Article ID 6540754, 10 pages, https://doi.org/10.1155/2017/6540754GaoW.SiddiquiM. K.Molecular descriptors of nanotube, oxide, silicate, and triangulene networksJ. Chem Volume 2017, Article ID 6540754, 10 pageshttps://doi.org/10.1155/2017/654075410.1155/2017/6540754Search in Google Scholar

[13]W. Gao, M. K. Jamil, A. Javed. M. R. Farahani, S. Wang, J. Liu, Sharp bounds of the hyper Zagreb index on acyclic, unicylic and bicyclic graphs, Discrete Dynamics in Nature and Society, Volume 2017, Article ID 6079450, 5 pages, https://doi.org/10.1155/2017/6079450GaoW.JamilM. K.JavedA.FarahaniM. R.WangS.LiuJ.Sharp bounds of the hyper Zagreb index on acyclic, unicylic and bicyclic graphsDiscrete Dynamics in Nature and Society Volume 2017, Article ID 6079450, 5 pageshttps://doi.org/10.1155/2017/607945010.1155/2017/6079450Search in Google Scholar

[14]A. Graovac, T. Pisanski, On the Wiener index of a graph, J. Math. Chem., 8 (1991) 53–62.GraovacA.PisanskiT.On the Wiener index of a graphJ. Math. Chem81991536210.1007/BF01166923Search in Google Scholar

[15]I. Gutman, N. Trinajsti ć, Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett., 17 (1972) 535–538.GutmanI.TrinajstićN.Graph theory and molecular orbitals. Total π-electron energy of alternant hydrocarbonsChem. Phys. Lett17197253553810.1016/0009-2614(72)85099-1Search in Google Scholar

[16]I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin (1986).GutmanI.PolanskyO. E.Mathematical Concepts in Organic ChemistrySpringer, Berlin198610.1007/978-3-642-70982-1Search in Google Scholar

[17]F. Harary, Graph Theory, Addison-Wesley, Reading, Mass (1969).HararyF.Graph TheoryAddison-Wesley, Reading, Mass196910.21236/AD0705364Search in Google Scholar

[18]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, I. Gutman, The edge Szeged index of product graphs, Croat. Chem. Acta, 81 (2008) 277–281.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.GutmanI.The edge Szeged index of product graphsCroat. Chem. Acta812008277281Search in Google Scholar

[19]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, Vertex and Edge PI indices of Cartesian product graphs, Discrete Appl. Math., 156 (2008) 1780–1789.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.Vertex and Edge PI indices of Cartesian product graphsDiscrete Appl. Math15620081780178910.1016/j.dam.2007.08.041Search in Google Scholar

[20]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, The first and second Zagreb indices of some graph operations, Discrete Appl. Math., 157 (2009) 804–811.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.The first and second Zagreb indices of some graph operationsDiscrete Appl. Math157200980481110.1016/j.dam.2008.06.015Search in Google Scholar

[21]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, S. Wagner, Some new results on distance-based graph invariants, European J. Combin., 30 (2009) 1149–1163.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.WagnerS.Some new results on distance-based graph invariantsEuropean J. Combin3020091149116310.1016/j.ejc.2008.09.019Search in Google Scholar

[22]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, The hyper-Wiener index of graph operations, Comput. Math. Appl., 56 (2008) 1402–1407.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.The hyper-Wiener index of graph operationsComput. Math. Appl5620081402140710.1016/j.camwa.2008.03.003Search in Google Scholar

[23]M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, A matrix method for computing Szeged and vertex PI indices of join and composition of graphs, Linear Algebra Appl., 429 (2008) 2702–2709.KhalifehM. H.Yousefi-AzariH.AshrafiA. R.A matrix method for computing Szeged and vertex PI indices of join and composition of graphsLinear Algebra Appl42920082702270910.1016/j.laa.2008.01.015Search in Google Scholar

[24]S. Klavzar, A. Rajapakse, I. Gutman, The Szeged and the Wiener index of graphs, Appl. Math. Lett., 9 (1996) 45–49.KlavzarS.RajapakseA.GutmanI.The Szeged and the Wiener index of graphsAppl. Math. Lett91996454910.1016/0893-9659(96)00071-7Search in Google Scholar

[25]V. R. Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).KulliV. R.College Graph TheoryVishwa International PublicationsGulbarga, India2012Search in Google Scholar

[26]S. Li, G. Wang, Vertex PI indices of four sums of graphs, Discrete Appl. Math., 159 (2011) 1601–1607.LiS.WangG.Vertex PI indices of four sums of graphsDiscrete Appl. Math15920111601160710.1016/j.dam.2011.06.001Search in Google Scholar

[27]X. Li, H. Zhao, Trees with the first three smallest and largest generalized topological indices, MATCH Commun. Math. Comput. Chem., 50 (2004) 57–62.LiX.ZhaoH.Trees with the first three smallest and largest generalized topological indicesMATCH Commun. Math. Comput. Chem5020045762Search in Google Scholar

[28]M. Metsidik, W. Zhang, F. Duan, Hyper and reverse Wiener indices of F-sums of graphs, Discrete Appl. Math., 158 (2010) 1433–1440.MetsidikM.ZhangW.DuanF.Hyper and reverse Wiener indices of F-sums of graphsDiscrete Appl. Math15820101433144010.1016/j.dam.2010.04.003Search in Google Scholar

[29]G. H. Shirdel, H. Rezapour, A. M. Sayadi, The hyper-Zagreb index of graph operations, Iranian J. Math. Chem., 4(2) (2013) 213–220.ShirdelG. H.RezapourH.SayadiA. M.The hyper-Zagreb index of graph operationsIranian J. Math. Chem422013213220Search in Google Scholar

[30]N. Trinajsti ć, Chemical Graph Theory, CRC Press, Boca Raton, FL (1992).TrinajstićN.Chemical Graph TheoryCRC Press, Boca Raton, FL1992Search in Google Scholar

[31]B. Zhou, N. Trinajsti ć, On general sum-connectivity index, J. Math. Chem., 47 (2010) 210–218.ZhouB.TrinajstićN.On general sum-connectivity indexJ. Math. Chem47201021021810.1007/s10910-009-9542-4Search in Google Scholar