The Generalized Zagreb Index of Some Carbon Structures

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In chemical graph theory, chemical structures are model edthrough a graph where atoms are considered as vertices and edges are bonds between them. In chemical sciences, topological indices are used for understanding the physicochemical properties of molecules. In this work, we study the generalized Zagreb index for three types of carbon allotrope’s theoretically.

1. Gutman, I.; Trinajstic, N. Graph theory and molecular orbitals total π-electron energy of alternant hydrocarbons. Chem. Phys. Lett., 1972, 17, 535-538.

2. Ranjini, P.S.; Lokesha, V. and Usha, A. Relation between phenylene and hexagonal squeeze using harmonic index. Int. J. Graph Theory. 2013, 1, 116-121.

3. Li, X.; Zheng, J.A unified approach to the extremal trees for different indices. MATCH Commun. Math. Comput. Chem. 2005, 54, 195-208.

4. Gutman, I.; Lepović, M. Choosing the exponent in the definition of the connectivity index. J. Serb. Chem. Soc. 2001, 66(9), 605-611.

5. Lokesha, V.; Deepika, T. Symmetric division deg index of tricyclic and tetracyclic graphs. Int. J. Sci. Eng. Res. 2016, 7(5), 53-55.

6. Alexander, V. Upper and lower bounds of symmetric division deg index. Iran. J. Math. Chem. 2014, 52, 91-98.

7. Gupta, C. K.; Lokesha, V.; Shwetha, B.S. and Ranjini, P.S. Graph operations on the symmetric division deg index of graphs. Palestine. J. Math. 2017, 6(1), 280-286.

8. Azari, M.; Iranmanesh, A. Generalized Zagreb index of graphs. Studia Univ. Babes-Bolyai. 2011, 56(3), 59-70.

9. Farahani, M.R.; Kanna, M.R.R. Generalized Zagreb index of V-phenylenicnanotubes and nanotori. J. Chem. Pharm. Res. 2015, 7(11), 241-245.

10. Farahani, M.R. The generalized Zagreb index of circumcoronene series of benzenoid. J. Appl. Phys. Sci. Int. 2015, 3(3), 99-105.

11. Sarkar, P.; De, N. and Pal, A. The (a,b)-Zagreb index of nanostar dendrimers (submitted).

12. Sridhara, G.; Kanna, M.R.R. and Indumathi, R. S. Computation of topological indices of graphene, J. Nanomaterials 2015, ID 969348.

13. Shigehalli, V.S.; Kanabur, R. Computation of new degree based topological indices of graphene. J. Math. 2016, ID 4341919.

14. Akhtar, S.; Imran, M.; Gao, W. and Farahani, M.R. On topological indices of honeycomb networks and graphene networks. Hacet. J. Math. Stat. 2018, 47(1), 19-35.

15. Kumar, R.P.; Nandappa, D.S. and Kanna, M.R.R., Redefined Zagreb, Randi´c, Harmonic, GA indices of graphene. Int. J. Math. Anal. 2017, 11(10), 493-502.

16. Baig, A. Q.; Imran, M.; Khalid, W. and Naeem, M. Molecular description of carbon graphite and crystal cubic carbon structure. Canad. J. Chem. 2017, 95(6), 674-685.

17. Gao, W.; Siddiqui, M.K.; Naeem, M. and Rahman, N.A. Topological characterization of carbon graphite and crystal cubic carbon structures. Molecules 2017, 22, 1496.

Acta Chemica Iasi

The Journal of "Alexandru Ioan Cuza" University from Iasi

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