Bibliography of Fullerenes and Polyhedra (9/6/99)

Prepared by:

Joseph Malkevitch
Department of Mathematics and Computing
York College (CUNY)
Jamaica, New York 11451

Email: (for additions, suggestions, and corrections)

Aldersey-Williams, H., The Most Beautiful Molecule: The Discovery of the Bucky Ball, Wiley, New York, 1995.

Babic, D. and D. Klein, C. Sah, Symmetry of fullerenes, Chemical Physics Letters 211 (1993) 235-243.

Brinkmann, G., Generating cubic graphs faster than isomorphism checking, preprint, SFB 343 No. 92-047, Bielefeld, 1992.

Brinkmann, G. and A. Dress, A constructive ennumeration of fullerenes, J. of Algorithms, 23 (1997) 345-358.

Brinkmann, G. and A. Dress, PentHex Puzzles-A reliable and efficient top-down approach to fullerene-structure ennumeration, Advances in Applied Mathematics 21 (1998) 473-480.

Budden, F., The Fascination of Groups, Cambridge U. Press, London, 1972.

Burn, R., Groups: A Path to Geometry, Cambridge U. Press, New York, 1985.

Chung, F. and S. Sternberg, Mathematics and the Buckyball, American Scientist, 81 (1993) 56-71.

Cromwell, P., Polyhedra, Cambridge U. Press, New York, 1997.

Curl, R. and R. Smalley, Fullerenes, Scientic American, 265 (1991) 54-63.

Dress, A. and G. Brinkmann, Phantasmagorical Fulleroids, Match, 33 (1996) 87-100.

Fowler, P. and D. Manolopoulos, An Atlas of Fullerenes, Oxford U. Press, Oxford, 1995.

Fowler, P. and D. Manolopoulos, D. Redmond, and R. Ryan, Possible symmetries of fullerene structures, Chemical Physics Letters 202 (1993) 371-378.

Fowler, P. and D. Manolopoulos, R. Ryan, Isomerisations of the fullerenes, 97-112.

Grünbaum, B., Convex Polytopes, Wiley-Interscience, New York, 1967.

Grünbaum, B., Some analogues of Eberhard's theorem on convex polytopes, Israel J. Math. 6 (1968) 398-411.

Grünbaum, B., Polytopes, graphs, and complexes, Bull. Amer. Math. Soc. 76 (1970) 1131-1201.

Grünbaum, B. and T. Motzkin, The number of hexagons and the simplicity of geodesics on certain polyhedra, Canadian J. Math. 15 (1963) 744-751.

Klein, D. and X. Liu, Theorems for carbon cages, J. of Math. Chem. 11 (1992) 199-205.

Kratschmer, W. and L. Lamb, K. Fostiropoulos, D. Huffman, Solid C60: a new form of carbon, Nature 347 (1990) 354-358.

Liu, X. and D. Klein, T. Schmalz, and W. Seitz, Generation of carbon-cage polyhedra, J. of Computational Chem. 12 (1991) 1252-1259.

Liu, X. and D. Klein, W. Seitz, and T. Schmalz, Sixty-atom carbon cages. J. Computational Chem. 12 (1991) 1265-69.

Malkevitch, J., Planar Graphs with Uniform Vertex and Face Structure, Doctoral Thesis, University of Wisconsin (Madison), 1969.

Malkevitch, J., Planar Graphs with Uniform Vertex and Face Structure, Memoir 99, American Mathematical Society, Providence, 197 .

Malkevitch, J., 3-valent 3-polytopes with faces having fewer than 7 edges, Annals of the New York Academy of Sciences, 75 (1970) 285-286.

Malkevitch, J. Polytopal Graphs, in Selected Topics in Graph Theory 3, ed. L. Beineke and R. Wilson, Academic Press, New York, 1988.

Malkevitch, J., A note on fullerenes, J. of Fullerene Science, 2 (1994) 423-426.

Manolopoulos, D. and P. Fowler, A fullerene without a spiral, Chemical Physics Letters 204 (1993) 1-7.

Pisanski, T., On planar graphs with 12 vertices of degree five, Glasnik Mat. 12 (1977) 233-235.

Sah, C., Combinatorial construction of fullerene structues, Croatica Chem. Acta 66 (1993) 1- .

Yakobson, B. and R. Smalley, Fullerene nanotubes: C1,000,000 and beyond, American Scientist, 85 (1997) 324-337.

Ziegler, G., Lectures on Polytopes, Springer-Verlag, New York, 1995.

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