A Model for Combinatorial Organic Chemistry

Journal of Chemical Information and Computer Sciences

Volumn 40, Issue 3, 2000, Pages 572-579

  El Basil, Sherif ^a  

^a CAIRO UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002870503     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci9900940     Document Type: Article

References (21)

1. Because conjugate subgroups are considered to be equivalent, only a representative form every set of such subgroups is selected. See, e.g.: Fujita, S. Symmetry and Combinatorial Enumeration in Chemistry; Springer-Verlag: Berlin, 1991; p 13.
2. d) skeletons. J. Chem. Educ. 1986, 63, 744-746.
3. Fujita, S. Subduction of coset representations. An application to enumeration of chemical structures. Theor. Chim. Acta 1989, 76, 247-268.
4. Fujita, S. Enumeration of chemical structures by subduction of coset representations. Correlation of unit subduced cycle indices to Pólya's cycle indices. J. Math. Chem. 1990, 5, 99-120.
5. Fujita, S. Application of coset representations to the construction of symmetry adapted functions. Theor. Chim. Acta 1990, 78, 45-63.
6. Fujita, S. Systematic classification of molecular symmetry by subduction of coset representation. Bull. Chem. Soc. Jpn. 1990, 63, 315-327.
7. Fujita, S. Subductive and inductive derivation for designing molecules of high symmetry. J. Chem. Inf. Comput. Sci. 1991, 31, 540-546.
8. Fujita, S. Unit subduced cycle indices for combinatorial enumeration. J. Graph Theory 1994, 18, 349-371.
9. Fujita, S. Promolecules with subsymmetry of D∞h. Combinatorial enumeration and stereochemical properties. J. Chem. Inf. Comput. Sci. 1992, 32, 354-363.
10. See, e.g.: Tsukerblat, B. S. Group Theory in Chemistry and Spectroscopy; Academic Press: London, 1994. Flurry, R. L., Jr. Symmetry Groups: Theory and Chemical Applications; Prentice-Hall: Englewood Cliffs, NJ, 1980. Davidson, G. Group Theory for Chemists; Macmillan: London, 1991.
11. See, e.g.: Tsukerblat, B. S. Group Theory in Chemistry and Spectroscopy; Academic Press: London, 1994. Flurry, R. L., Jr. Symmetry Groups: Theory and Chemical Applications; Prentice-Hall: Englewood Cliffs, NJ, 1980. Davidson, G. Group Theory for Chemists; Macmillan: London, 1991.
12. See, e.g.: Tsukerblat, B. S. Group Theory in Chemistry and Spectroscopy; Academic Press: London, 1994. Flurry, R. L., Jr. Symmetry Groups: Theory and Chemical Applications; Prentice-Hall: Englewood Cliffs, NJ, 1980. Davidson, G. Group Theory for Chemists; Macmillan: London, 1991.
13. Mark tables, tables of subductions of groups, and other useful tables are found in: Fujita, S. Symmetry and Combinatorial Enumeration in Chemistry; Springer-Verlag: Berlin, 1991; pp 321-358.
14. Mead, C. A. Comment on symmetry and combinatorial enumeration in chemistry by Shinsaku Fujita. J. Am. Chem. Soc. 1992, 114, 4019-4020.
15. Chartrand, G. Graphs as mathematical models; Prindle, Weber & Schmidt, Incorporated: Boston, MA, 1977; Chapter 10, p 232.
16. Fujita , S. Symmetry and Combinatorial Enumeration in Chemistry; Springer-Verlag: Berlin, 1991; Section 13.3.
17. Cyclic notations are explained in: Cohen, D. I. A. Basic Techniques of Combinatorial Theory; John Wiley & Sons: New York, 1978; Chapter 6.
18. Herstein, I. N.; Winter, D. J. A Primer on Linear Algebra; Macmillan Publishing Company: New York, 1988; pp 107-119.
19. 5,9]undecane. Tetrahedron Lett. 1970, 47, pp 4125-4127.
20. Burnside W. Theory of Groups of Finite Order, 2nd ed.; Cambridge University Press: London, 1911; Chapter 12, Part 180.
21. Fujita, S. Private communication, 1996.