References
[1] J. Aihara, A new definition of Dewar-type resonance energies, J. Am. Chem. Soc. 98 (1976) 2750–2758.
[2] J. Aihara, H. Hosoya, Spherical aromaticity of buckminsterfullerene, Bull. Chem. Soc. Jpn. 61 (1988) 2657–2659.
[3] M. Arezoomand, On the distance-based topological indices of fullerenes and fullerenyl anions having dendrimer units, Digest J. Nanomaterials and Biostructures, 4 (4) (2009) 713–722.
[4] A. T. Balaban, Ed., From Chemical Topology to Three Dimensional Geometry, Kluwer Academic Publ., New York, 1999.
[5] A. T. Balaban, O. Ivanciuc, in Topological Indices and Related Descriptors in QSAR and QSPR, J. Devillers, A. T. Balaban (Eds.), Gordon and Breach, Amsterdam, (1999) 21–57.
[6] F. Cataldo, A. Graova´c, O. Ori, The Mathematics and Topology of Fullerenes, Springer, Heidelberg, 2011.
[7] R. A. Davidson, Spectral analysis of graphs by cyclic automorphism subgroups, Theor. Chim. Acta, 58 (1981) 193–231.
[8] P.W. Fowler, D. E. Manolopoulos, An Atlas of Fullerenes, Clarendon Press, Oxford (1995).
[9] P.W. Fowler, Resistance distances in fullerene graphs, Croat. Chem. Acta, 75 (2002) 401–408.
[10] E. J. Farrell, An introduction to matching polynomials, J. Comb. Theory, B27 (1979) 75–86.
[11] I. Gutman, M. Milun, N. Trinajsti´c, Non-Parametric Resonance Energies of Arbitrary Conjugated Systems, J. Am. Chem. Soc. 99 (1977) 1692–1704.
[12] H. Hargittai (Ed.), Symmetry Unifying Human Understanding, Pergamon Press, New York, 1986.
[13] J. L. Hoard, R. E. Hughes, The Chemistry of Boron and Its Compounds, E. L. Mutterties (Ed.), John Wiley, N. Y. 1967.
[14] H. Hosoya, Topological index, a newly proposed quantity characterizing the topological nature of structure isomers of saturated hydrocarbons, Bull. Chem. Soc. Jpn. 44 (1971) 2332–2339.
[15] H. Hosoya, M. Murakami, M. Gotoh, Distance polynomial and characterization of a graph, Natl. Sci. Rept., 24, Ochanomizu Univ, (1973) 27–34.
[16] H. Hosoya, K. Hosoi, I. Gutman, A topological index for the total p-electron energy. Proof of a generalised Huckel rule for an arbitrary network, Theor. Chim. Acta, 38 (1975) 37–47 (Berlin).
[17] H. Hosoya, T. Yamaguchi, Sextet polynomial. A new enumeration and proof technique for the resonance theory applied to the aromatic hydrocarbons, Tetrahedron Lett. (1975) 4659–4662.
[18] H. Hosoya, Gendai Kagaku (Chemistry Today), 102 (9) (1979) 38–45 (in Nihongo).
[19] H. Hosoya, Gendai Kagaku (Chemistry Today), 103 (10) (1979) 34–42 (in Nihongo).
[20] H. Hosoya, Gendai Kagaku (Chemistry Today), 105 (12) (1979) 40–47 (in Nihongo).
[21] H. Hosoya, Newton, 2 (1982) (5), 36-43 (in Nihongo).
[22] H. Hosoya, Kagaku wo Tsukamu (To Grasp Chemistry), Iwanami, Tokyo (1983) (in Nihongo).
[23] H. Hosoya, Matching and symmetry of graphs, Comp. Math. Appl. 12B (1986) 271–290.
[24] H. Hosoya, Gendai Kagaku (Chemistry Today), 201 (12) (1987) 38–44 (in Nihongo).
[25] H. Hosoya, On some counting polynomials in chemistry, Discr. Appl. Math., 19 (1988) 239–257.
[26] H. Hosoya, Y. Tsukano, Efficient Way for Factorization the Characteristic Polynomial of Highly Symmetrical Graphs Such as the Buckminsterfullerene, Fullerene Sci. Tech., 2 (1994) 381–393.
[27] H. Hosoya, Y. Maruyama, Efficient generation of the cartesian coordinates of truncated icosahedron and related polyhedra, J. Mol. Graphics Modelling, 19 (2001) 205–209.
[28] H. Hosoya, Bull. Japan Soc. Phys. Chem. Education, 76 (2) (2005) 1–23 (in Nihongo).
[29] H. Hosoya, What can mathematical chemistry contribute to the development of mathematics? Int’l. J. Philosophy of Chem. (HYLE), 19 (2013) 87–105.
[30] S. Iwata, H. Hosoya, unpublished work. For all the coefficients see K. Balasubramanian, Chem.Phys. Lett. 239 (1995) 117–123.
[31] D. J. Klein, T. G. Schmalz, G. E. Heit, W. A. Seitz, Resonance in C60 buckminsterfullerene, J. Am.Chem. Soc. 108 (1986) 1301–1302.
[32] W. Kratchmer, L. D. Lamb, K. Fostiropoulos, D. R. Huffman, Solid C60: a new form of carbon, Nature, 347 (1990) 354–358.
[33] H.W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, R. E. Smalley, C60: Buckminsterfullerene, Nature, 318 (1985) 162–163.
[34] H.W. Kroto, A. W. Alaff, S. P. Balm, C60 : Buckminsterfullerene, Chem. Rev. 91 (1991) 1213–1235.
[35] S. Nagakura, H. Hosoya, Structure and Properties, Tokyo Kagakudojin, Tokyo (1970) (in Nihongo).
[36] E. Osawa, Kagaku (Chemistry), 25 (1970) 854–863 (in Nihongo=Language used in Japan); Chem. Abstr. 74 (1971) 75698v.
[37] W.-C. Shiu, P. C. B. Lamb, H. Zhang, Clar and sextet polynomials of buckminsterfullerene, J. Mol. Struct. THEOCHEM), 622 (2003) 239–248.
[38] Z. Yoshida, E. Osawa, Aromaticity, Kagakudojin, Kyoto (1971), pp. 174–178 (in Nihongo).
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