Topological Symmetry of Nanostructures

References

• Trinajstić, N. (1992) Chemical Graph Theory. CRC Press: Boca Raton, FL.
   Google Scholar
• Diudea, M.V., Florescu, M.S., and Khadikar, P.V. (2006) Molecular Topology and Its Applications. EFICON: Bucharest
   Google Scholar
• Ashrafi, A.R., Cataldo, F., Iranmanesh, A., and Ori, O. (2013) (Eds.) Topological Modeling of Nanostructures and Extended Systems. Springer-Varlag.
   Google Scholar
• Mirman, R. (1999) Point groups, space groups, crystals, molecules. World Scientific Publishing Co, Inc, River Edge, NJ.
   Google Scholar
• Smeyers, Y.G. (1992) Structure and dynamics of non-rigid molecular systems. Adv. Quant. Chem., 24: 1–77.
   Web of Science ®Google Scholar
• Balasubramanian, K. (1980) The symmetry groups of nonrigid molecules as generalized wreath products and their representations. J. Chem. Phys., 72: 665–677.
   Web of Science ®Google Scholar
• Balasubramanian, K. (1982) Symmetry operators of generalized wreath products and their applications to chemical physics. Int. J. Quant. Chem., 22: 1013–1031.
   Web of Science ®Google Scholar
• Balasubramanian, K. (1990) Generators of the character tables of generalized wreath product groups. Theoretica Chimica Acta, 78: 31–43.
   Google Scholar
• Liu, X., and Balasubramanian, K. (1990) Computer generation of character tables of generalized wreath product groups. J. Comput. Chem., 11: 589–602.
   Web of Science ®Google Scholar
• Khalifeh, M.H., Yousefi–Azari, H., and Ashrafi, A.R. (2008) Computing Wiener and Kirchhoff indices of a triangulane. Indian Journal of Chemistry, 47A: 1503–1507.
   Google Scholar
• The GAP Team (1995) GAP, Groups, Algorithms and Programming. Lehrstuhl De für Mathematik, RWTH, Aachen.
   Google Scholar
• Darafsheh, M.R., Farjami, Y., and Ashrafi, A.R. (2005) Computing the full non–rigid group of tetranitrocubane and octanitrocubane using wreath product. MATCH Commun. Math. Comput. Chem., 54: 53–74.
   Web of Science ®Google Scholar
• Ashrafi, A.R., Karbasioun, A., and Diudea, M.V. (2011) Computing Wiener and detour indices of a new type of nanostar dendrimers. MATCH Commun. Math. Comput. Chem., 65(1): 193–200.
   Web of Science ®Google Scholar
• Karbasioun, A., Ashrafi, A.R., and Diudea, M.V. (2010) Distance and detour matrices of an infinite class of dendrimer nanostars. MATCH Commun. Math. Comput. Chem., 63(1): 239–246.
   Web of Science ®Google Scholar
• Amini, K., and Ashrafi, A.R. (2009) Relations between clar structures, clar covers and sextet–rotations of dendrimer nanostars. Optoelectron. Adv. Mater. – Rapid Commun., 3(1): 1076–1079.
   Google Scholar
• Ashrafi, A.R., and Saati, H. (2008) Relationship between PI and Szeged indices of a triangulane and its associated dendrimer. J. Comput. Theor. Nanosci., 5(4): 681–684.
   Web of Science ®Google Scholar
• Newkome, G.R., Moorefield, C.N., and Vögtle, F. (2001) Dendrimers and Dendrons: Concepts, Syntheses, Applications. WILEY-VCH Verlag GmbH, D-69469: Weinheim.
   Google Scholar
• Bosma, W., Cannon, J., and Playoust, C. (1997) The Magma algebra system. I. The user language. J. Symb. Comput., 24: 235–265.
   Web of Science ®Google Scholar
• Issberner, J., Bohme, M., Grimme, S., Nieger, M., Paulus, W., and Vogtle, F. (1996) Poly(amine/imine) dendrimers bearing planar chiral terminal groups – synthesis and chiroptical properties. Tetrahedron: Asymmetry, 17: 2223–2232.
   Web of Science ®Google Scholar
• Kroto, H.W., Heath, J.R., O'Brien, S.C., Curl, R.F., and Smalley, R.E. (1985) C60: buckminsterfullerene. Nature 318: 162–163.
   Web of Science ®Google Scholar
• Kroto, H.W. (1989) C60B buckminsterfullerene, other fullerenes and the icospiral shell. Symmetry 2: unifying human understanding, Part 1. Comput. Math. Appl. 17: 417–423.
   Web of Science ®Google Scholar
• Fowler, P.W., and Manolopoulos, D.E. (1995) An Atlas of Fullerenes, Oxford University Press: Oxford.
   Google Scholar
• Ori, O., and D'Mello, M. (1992) A topological study of the structure of the C76 fullerene. Chem. Phys. Lett., 197(1–2): 49–54.
   Web of Science ®Google Scholar
• Yoshida, M., VRML Gallery of Fullerenes, http://www.jcrystal.com/steffenweber/gallery/Fullerenes/Fullerenes.html.
   Google Scholar
• Szefler, B., Ponta, O., and Diudea, M.V. (2012) Energetics of polybenzene multi–tori. J. Mol. Struct., 1022: 89–93.
   Web of Science ®Google Scholar
• Szefler, B., and Diudea, M.V. (2012) Polybenzene multitori. Cent. Eur. J. Chem., 10(6): 1779–1785.
   Web of Science ®Google Scholar