[1] I. Gutman and N. Trinajstic, Graph theory and molecular orbitals. Total $ \phi $ electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (4) (1972) 535–538, https://doi.org/10.1016/0009-2614(72)85099-1.
[2] B. Furtula and I. Gutman, A forgotten topological index, J. Math. Chem. 53 (2015) 1184–1190,https://doi.org/10.1007/s10910-015-0480-z.
[3] A. Alameri, N. Al-Naggar, M. Al-Rumaima and M. Alsharafi, Y -index of some graph operations, Int. J. Appl. Eng. Res. (Neth.) 15 (2) (2020) 173–179.
[4] G. Priyadharsini, G. Kayalvizhi and S. Nagarajan, S-index of different graph operations, Asian Res. J. Math. 17 (12) (2021) 43–52, https://doi.org/10.9734/arjom/2021/v17i1230347.
[5] A. Milicevic, S. Nikolic and N. Nenad Trinajstic, On reformulated Zagreb indices, Mol. Divers. 8 (2004) 393–399, https://doi.org/10.1023/B:MODI.0000047504.14261.2a.
[6] A. Ashrafi, T. Došlic and A. Hamzeh, The Zagreb coindices of graph operations, Discret. Appl. Math. 158 (15) (2010) 1571–1578,
https://doi.org/10.1016/j.dam.2010.05.017.
[7] N. De, S. M. A. Nayeem and A. Pal, F-index of some graph operations, Discrete Math. Algorithms Appl. 8 (2) (2016) p. 1650025, https://doi.org/10.1142/S1793830916500257.
[8] A. Ilic and B. Zhou, On reformulated Zagreb indices, Discrete Appl. Math. 160 (2012) 204–209, https://doi.org/10.1016/j.dam.2011.09.021.
[9] R. B. Jummannaver, I. Gutman and R. A. Mundewadi, On Zagreb indices and coindices of cluster graphs, Bull. Int. Math. Virtual Inst. 8 (2018) 477–485.
[10] G. Su and L. Xiong, On the maximum and minimum first reformulated Zagreb index with connectivity at most K, Filomat 25 (2011) 75–83, https://doi.org/10.2298/FIL1104075S.
[11] B. Zhou and N. Trinajstic, Some properties of the reformulated Zagreb indices, J. Math. Chem. 48 (2010) 714–719, https://doi.org/10.1007/s10910-010-9704-4.
[12] H. Aram and N. Dehgardi, Reformulated F-index of graph operations, Commun. Comb. Optim. 2 (2017) 87–98, https://doi.org/ 10.22049/CCO.2017.13630.
[13] N. De, S. M. A. Nayeem and A. Pal, Reformulated first Zagreb index of some graph operations, Mathematics. 3 (2015) 945–960, https://doi.org/10.3390/math3040945.
[14] M. Rezaei, W. Gao, M. K. Siddiqui and M. R. Farahani, Computing hyper Zagreb index and m-polynomials of titania nanotubes Tio2[m; n], Sigma J. Eng. Nat Sci. 35 (4) (2017) 707–714.
[15] A. Subhashini and J. B. Babujee, Computing degree based topological indices for titania nanotubes Tio2(m; n), Inter. Jour. Math. Trends and Tech. (2018) 119–124.
[16] N. De, On molecular topological properties of Tio2 nanotubes, j. nanosci. 2016 (2016) ID 1028031, https://doi.org/10.1155/2016/1028031.