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Inverse sum Indeg index and ISI matrix of graphs

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  • S. Ahmad , H. Siddiqui , M. Afzal , A. Ali , M.R. Farahani , M. Imran , I. N. Cangul , On Wiener index and Wiener polarity index of some polyomino chains, Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1151-1164, (2019). DOI: 10.1080/09720529.2019.1688965
  • M. Alaeiyan , F. Afzal , M.R. Farahani , M. Ali Rostami , An exact formulas for the Wiener polarity index of nanostar dendrimers, Journal of Information and Optimization Sciences , 41(4), 2020, 933–939. DOI: 10.1080/02522667.2020.1748274
  • S.S. Alamoti , M. Alaeiyan , A.R. Gilani , Studying thermodynamic properties of linear acenes molecules (C4n+2H2n+4) using hyper-Zagreb index, Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1261-1268, (2019). DOI: 10.1080/09720529.2019.1694258
  • M. An , L. Xiong , Some results on the inverse sum indeg index of a graph, Information Processing Letters 134, 42-46, (2018). DOI: 10.1016/j.ipl.2018.02.006.
  • S. B. Bozkurt , A.D. GÜngÖr , I. Gutman , A.S. Çevik , Randić Matrix and Randić Energy, MATCH Commun. Math. Comput. Chem . 64, 239-250, (2010).
  • J. Buragohain , B. Deka , A. Bharali , A generalized ISI index of some chemical structures, Journal of Molecular structure 1028, 127843, (2020). DOI: 10.1016/j.molstruc.2020.127843
  • M. Cancan , S. Ediz , Saba Fareed , M.R. Farahani , More topological indices of generalized prism network, Journal of Information and Optimization Sciences , 41(4), 2020, 925–932. DOI: 10.1080/02522667.2020.1748273
  • M. Cancan , S. Ediz , M. Alaeiyan , M.R. Farahani , On Ve-degree molecular properties of copper oxide. Journal of Information and Optimization Sciences , 41(4), 2020, 949–957. DOI: 10.1080/02522667.2020.1747191
  • H. Chen , H. Deng , The inverse sum indeg index of graphs with some given parameters, Discrete Mathematics , Algorithms and Applications 10(1), 1850006, (2018). DOI: 10.1142/S1793830918500064
  • X. Chen , On ABC eigenvalues and ABC energy, Linear Algebra Appl. 544, (2018), 141-157. DOI: 10.1016/j.laa.2018.01.011
  • C. M. da Fonseca , S. Kouachi , D. A. Mazilu , I. Mazilu , A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices, Appl. Math. Comp. 259, 205-211, (2015). DOI: 10.1016/j.amc.2015.02.058
  • A. Doley , J. Buragohain , A. Bharali , Inverse sum indeg status index of graphs and its applications to octane isomers and benzenoid hydrocarbons, Chemometrics and Intelligent Laboratory Systems 203, 104059, (2020). DOI: 10.1016/j.chemolab.2020.104059
  • A. Doley , B. Deka , A. Bharali , Misbalance Degree Matrix and Related Energy of Graphs, J. Math. Comput. Sci . 10(3), 436-447, (2020). DOI: 10.28919/jmcs/4437.
  • S. S. Dragomir , A Survey On Cauchy-Bunyakovsky-Schwarz Type Discrete Inequalities, J. Inequal. Pure and Appl. Math . 4(3), Art.63, (2003).
  • E. Estrada , The ABC Matrix, J. Math. Chem . 55, 1021-1033, (2017). DOI: 10.1007/s10910-016-0725-5
  • S. Fajtlowicz , On conjectures of Graffiti-II, Congr. Numer. 60, 187-197, (1987). DOI: 10.4236/apm.2014.45021
  • F. Falahati-Nezhad , M. Azari , T. DoŠliĆ , Sharp bounds on the inverse sum indeg index, Discrete Appl. Math . 217(2), 185-195, (2017). DOI:10.1016/j.dam.2016.09.014
  • I. Gutman , Degree-based topological indices, Croat. Chem. Acta 86 (4), 351-361, (2013). DOI: 10.5562/cca2294
  • S. M. Hosamani , B. B. Kulkarni , R. G. Boli , V. M. Gadag , QSPR analysis of certain graph theoretical matrices and their corresponding energy, Appl. Math. Nonlin. Sci . 2(1), 131-150, (2017). DOI: 10.21042/AMNS.2017.1.00011
  • M. Imran , M. K. Siddiqui , S. Ahmad , M.F. Hanif , M. Hussain , M.R. Farahani , Topological properties of benzenoid, phenylenes and nanostar dendrimers, Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1229-1248, (2019). DOI: 10.1080/09720529.2019.1701267
  • S. M. Kang , I. Hashim , H. Ahmad , Y.C. Kwun , Distance and eccentricity based invariants of windmill graph, Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1323-1334, (2019). DOI: 10.1080/09720529.2019.1691330
  • S. F. Mousavi , A. R. Gilani , M. Alaeiyan , A study of novel harmonic indices in nanocones CNCk[n], Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1335-1347, (2019). DOI: 10.1080/09720529.2019.1688969
  • K. Pattabiraman , Inverse sum indeg index of graphs, AKCE International Journal of Graphs and Combinatorics 15 (2), 155-167, (2018). DOI: 10.1016/j.akcej.2017.06.001
  • N. J. Rad , A. Jahanbani , I. Gutman , Zagreb Energy and Zagreb Estrada Index of Graphs, MATCH Commun. Math.Comput. Chem . 79, 371-386, (2018).
  • J. A. Rodríguez , A sprectral approach to the Randić index, Linear Algebra Appl. 400, 339-344, (2005). DOI:10.1016/j.laa.2005.01.003
  • J. M. Rodríguez , J. M. Sigaretta , Spectral study of the Geometric-Arithmetic Index, MATCH Commun. Math.Comput. Chem . 74, 121-135, (2015).
  • J. M. Rodríguez , J. M. Sigaretta , Spectral properties of the Geometric-Arithmetic Index, Appl. Math. Comp . 277, 142-153, (2016). DOI: 10.1016/j.amc.2015.12.046
  • J. Sedlar , D. Stevanović , A. Vasilyev , On the inverse sum indeg index, Discrete Appl. Math . 184, 202-212, (2015). DOI: 10.1016/j.dam.2014.11.013
  • M. Shoaib Sardar , Si-Ao Xu , W. Sajjad , S. Zafar , I. N. Cangul , M.R. Farahani . An explicit formula for the harmonic indices and harmonic polynomials of carbon nanocones CNCk[n], Journal of Information and Optimization Sciences , 41(4), 2020, 879–890 DOI: 10.1080/02522667.2020.1753304
  • D. Vukičević , M. Gašperov , Bond additive Modeling 1. Adriatic Indices, Croat. Chem. Acta 83(3), 243-260, (2010).
  • H. Wiener , Structural determination of paraffin boiling points, J. Am. Chem. Soc . 69 (1), 17-20, (1947). DOI:10.1021/ja01193a005
  • H. Yang , M. Naeem , A.Q. Baig , H. Shaker , M.K. Siddiqui , Vertex Szeged index of crystal cubic carbon structure, Journal of Discrete Mathematical Sciences and Cryptography 22(7), 1177-1187, (2019). DOI: 10.1080/09720529.2019.1688966

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