[1] B. Grünbaum and T. S. Motzkin, The number of hexagons and the simplicity of geodesics on certain polyhedra, Can. J. Math. 15 (1963) 744–751, https://doi.org/10.4153/CJM1963-071-3.
[2] D. J. Klein and X. Liu, Theorems for carbon cages, J. Math. Chem. 11 (1992) 199–205,
https://doi.org/10.1007/BF01164204.
[3] P. W. Fowler and D. E. Manolopoulos, An Atlas of Fullerenes, Clarendon Press, Oxford, 1995.
[4] R. B. King and M. V. Diudea, The chirality of icosahedral fullerenes: A comparison of the tripling, (leapfrog), quadrupling (chamfering) and septupling (capra) transformations, J. Math. Chem. 39 (2006) 597–604, https://doi.org/10.1007/s10910-005-9048-7.
[5] T. Došlić, M. Taheri-Dehkordi and G. H. Fath-Tabar, Packing stars in fullerenes, J. Math. Chem. 58 (2020) 2223–2244, https://doi.org/10.1007/s10910-020-01177-4.
[6] M. V. Diudea, M. Stefu, P. E. John and A. Graovac, Generalized operations on maps, Croat. Chem. Acta 79 (3) (2006) 355–362.
[7] M. Taheri-Dehkordi and G. H. Fath-Tabar, Nice pairs of pentagons in chamfered fullerenes, MATCH Commun. Math. Comput. Chem. 87 (3) (2022) 621–628, https://doi.org/10.46793/match.87-3.621T.
[8] T. Došlić, All pairs of pentagons in leapfrog fullerenes are nice, Mathematics 8 (12) (2020) p. 2135, https://doi.org/10.3390/math8122135.
[9] G. H. Fath-Tabar, A. R. Ashrafi and D. Stevanović, Spectral properties of fullerenes, J. Comput. Theor. Nanosci. 9 (3) (2012) 327–329, https://doi.org/10.1166/jctn.2012.2027.
[10] T. Došlić, M. Taheri-Dehkordi and G. H. Fath-Tabar, Shortest perfect pseudomatchings in fullerene graphs, Appl. Math. Comput. 424 (2022) p. 127026, https://doi.org/10.1016/j.amc.2022.127026.
[11] L. Shi, The fullerene graphs with a perfect star packing, Ars Math. Contemp. 23 (1) (2023) 1–16, https://doi.org/10.26493/1855-3974.2631.be0.
[12] F. Kardoš, A computer-assisted proof of the Barnette–Goodey conjecture: not only fullerene graphs are Hamiltonian, SIAM J. Discret. Math. 34 (1) (2020) 62–100, https://doi.org/10.1137/140984737.
[13] P. W. Fowler, J. E. Cremona and J. I. Steer, Systematics of bonding in non-icosahedral carbon clusters, Theoret. Chim. Acta 73 (1988) 1–26, https://doi.org/10.1007/BF00526647.
[14] H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl and R. E. Smalley, C60 Buckminsterfullerene, Nature 318 (1985) 162–163,
https://doi.org/10.1038/318162a0.
[15] J. Petersen, Die Theorie der regularen graphs, Acta Math. 15 (1891) 193–220, https://doi.org/10.1007/BF02392606.