Kekulé Count in Toroidal Hexagonal Carbon Cages

Croatica Chemica Acta

Volumn 71, Issue 3, 1998, Pages 435-447

  John, Peter E ^a  

^a ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001754233     PISSN: 00111643     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. a) Jie Liu, Hongjie Dai, J. H. Hafner, D. T. Colbert, R. E. Smalley, S. J. Tans, and C. Dekker, Nature 385 (1997) 780-781;
2. b) M. Randić, Y. Tsukano, and H. Hosoya, Kekule' Structures for Benzenoid Tori, Natural Science Report, Ochanomizu University, Vol. 45, No. 2, 1994, 101-119.
3. E. C. Kirby, R. B. Mallion, and P. Pollak, J. Chem. Soc. Faraday Trans. 89 (1993) 1945-1953.
4. P. John and H. Sachs, Calculating the Number of Perfect Matchings and of Spanning Trees, Paulings Orders, the Characteristic Polynomial, and the Eigenvectors of a Benzenoid System, in: Advances in the Theory of Benzenoid Hydrocarbons (Ed. I. Gutman and S. J. Cyvin), Topics in Current Chemistry 153 (1990) 145-179.
5. P. John and H. Sachs, J. Chem. Soc. Faraday Trans. 86 (1990) 1033-1039.
6. P. W. Kasteleyn: Graph Theory and Crystal Physics, in: Graph Theory and Theoretical Physics, F. Harary (Ed.), Academic Press London, 1967, pp. 43-110.
7. H. Sachs, P. Hansen, and M. Zheng: Kekulé Count in Tubular Hydrocarbons, MATCH-Communications in Mathematical an in Computer Chemistry, 33 (1996) 169-241.
8. P. J. Davis: Circulant Matrices, John Wiley & Sons, New York, Chichester, Brisbane, Toronto, 1979.
9. P. E. John and B. Walther: Sketch About Possible Structures and Numbers of Perfect Matchings of Toroidal Hexagonal Systems, preprint No. M 08/94 (TU Ilmenau).