Citation: Natarajan Chidambaram, Swathi Mohandoss, Xinjie Yu, Xiujun Zhang. On leap Zagreb indices of bridge and chain graphs[J]. AIMS Mathematics, 2020, 5(6): 6521-6536. doi: 10.3934/math.2020420
[1] | M. Azari, A. Iranmanesh, I. Gutman, Zagreb indices of bridge and chain graphs, Math. Commun. Math. Comput. Chem., 70 (2013), 921-938. |
[2] | B. Basavanagoud, E. Chitra, On leap Hyper-Zagreb indices of some nanostructures, Int. J. Math. Trends Tech., 64 (2018), 30-36. doi: 10.14445/22315373/IJMTT-V64P505 |
[3] | I. Gutman, K. C. Das, The first Zagreb index 30 years after, Math. Commun. Math. Comput. Chem., 50 (2004), 83-92. |
[4] | I. Gutman, N. Trinajstić, Graph theory and molecular orbitals-total electron energy of alternate hydrocarbons, J. Chem. Phys. Lett., 9 (1972), 535-538. |
[5] | I. Gutman, M. Emina, M. Igor, Beyond the Zagreb indices, AKCE Int. J. Comb., Available from: https://www.sciencedirect.com/science/article/pii/S0972860017302359, https://doi.org/10.1016/j.akcej.2018.05.002. |
[6] | J. A. Jerline, K. Dhanalakshmi, L. B. M. Raj, Harmonic index of bridge and chain graphs, Int. J. Math. Appl., 5 (2017), 275-284. |
[7] | V. R. Kulli, Leap indices of graphs, Int. J. Cur. Res. Life Sci., 8 (2019), 2998-3006. |
[8] | V. R. Kulli, Product connectivity leap index and ABC leap index of Helm graphs, Ann. Pure Appl. Math., 18 (2018), 189-192. doi: 10.22457/apam.v18n2a8 |
[9] | V. R. Kulli, on F-leap indices and F-leap polynomials of some graphs, Int. J. Math. Archive, 9 (2018), 41-49. |
[10] | E. Litta, J. J. Amalorpava, K. Dhanalakshmi, et al. Modified Zagreb indices of bridge graphs, Int. J. Math. Archive, 8 (2017), 86-91. |
[11] | M. A. Mohammed, R. S. Haoer, J. Robert, et al. F-leap index of some special classes of bridge and chain graphs, Eurasian Chem. Commun., 2 (2020), 827-833. doi: 10.33945/SAMI/ECC.2020.7.10 |
[12] | X. J. Zhang, X. L. Wu, S. Akhter, et al. Edge-version Atom-Bond connectivity and geometric arithmetic indices of generalized bridge molecular graphs, Symmetry, 10 (2018), 1-16. |
[13] | A. M. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Opt., 2 (2017), 99-117. |
[14] | A. M. Naji, B. Davvaz, S. S. Mahde, et al. A study on some properties of leap graphs, Commun. Comb. Opt., 5 (2020), 9-17. |
[15] | N. De, Hyper Zagreb index of bridge and chain graphs, Open J. Math. Sci., 2 (2018), 1-17. |
[16] | N. De, F-index of bridge and chain graphs, Mal. J. Fund. Appl. Sci., 12 (2016), 109-113. |
[17] | P. Shiladhar, A. M. Naji, N. D. Soner, Computation of leap Zagreb indices of some windmill graphs, Int. J. Math. Appl., 6 (2018), 183-191. |
[18] | Z. H. Shao, I. Gutman, Z. P. Li, et al. Leap Zagreb indices of trees and unicyclic graphs, Commun. Comb. Opt., 3 (2018), 179-184. |