Characteristic monomial tables for enumeration of achiral and chiral isomers

Bulletin of the Chemical Society of Japan

Volumn 72, Issue 1, 1999, Pages 13-20

  Fujita, Shinsaku ^a  

^a KYOTO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHIRALITY; ENANTIOMER; ISOMER; STATISTICS; THEORY;

EID: 0032939787     PISSN: 00092673     EISSN: None     Source Type: Journal    
DOI: 10.1246/bcsj.72.13     Document Type: Article

References (40)

1. G. Pólya, Acta Math., 68, 145 (1937).
2. F. Harary and E. M. Palmer, "Graphical Enumeration," Academic Press, New York (1973).
3. A. T. Balaban, "Chemical Applications of Graph Theory," Academic Press, London (1976).
4. K. Balasubramanian, Chem. Rev., 85, 599 (1985).
5. G. Pólya and R. C. Read, "Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds," Springer-Verlag, New York (1987).
6. W. J. Taylor, J. Chem. Phys., 11, 532 (1943).
7. T. L. Hill, J. Chem. Phys., 11, 294 (1943).
8. S. G. Williamson, J. Combinatorial Theory, 8, 163 (1970).
9. S. G. Williamson, J. Combinatorial Theory, 11, 122 (1971).
10. K. Balasubramanian, Theor. Chim. Acta, 51, 37 (1979).
11. R. Merris, Linear Algebra Appl., 29, 255 (1980).
12. W. Burnside, "Theory of Groups of Finite Order," 2 nd ed, Cambridge University Press, Cambridge (1911).
13. J. Sheehan, Can. J. Math., 20, 1068 (1968).
14. A. Kerber and K.-J. Thürlings, in "Combinatorial Theory," ed by D. Jngnickel and K. Vedder, Springer, Berlin (1982), pp. 191-211.
15. J. H. Redfield, J. Graph Theory, 8, 205 (1984).
16. S. Fujita, J. Math. Chem., 12, 173 (1993).
17. S. Fujita, J. Graph Theory, 18, 349 (1994).
18. W. Hässelbarth, Theor. Chim. Acta, 67, 339 (1985).
19. C. A. Mead, J. Am. Chem. Soc., 109, 2130 (1987).
20. S. Fujita, Theor. Chim. Acta, 76, 247 (1989).
21. S. Fujita, "Symmetry and Combinatorial Enumeration in Chemistry," Springer-Verlag, Berlin-Heidelberg (1991).
22. S. Fujita, Theor. Chim. Acta, 82, 473 (1992).
23. E. K. Lloyd, J. Math. Chem., 11, 207 (1992).
24. S. Fujita, Bull. Chem. Soc. Jpn., 67, 2935 (1994).
25. F. A. Cotton, "Chemical Applications of Group Theory," Wiley-International, New York (1971).
26. H. H. Jaffé and M. Orchin, "Symmetry in Chemistry," Wiley, Chichester (1965).
27. L. H. Hall, "Group Theory and Symmetry in Chemistry," McGraw-Hill, New York (1969).
28. D. M. Bishop, "Group Theory and Chemistry," Clarendon, Oxford (1973).
29. S. F. A. Kettle, "Symmetry and Structure," Wiley, Chichester (1985).
30. M. F. C. Ladd, "Symmetry in Molecules and Crystals," Ellis Horwood, Chichester (1989).
31. D. C. Harris and M. D. Bertolucci, "Symmetry and Spectroscopy," Dover, New York (1989).
32. I. Hargittai and H. Hargittai, "Symmetry through the Eyes of a Chemist," VCH, Weinheim (1986).
33. S. Fujita, Theor. Chim. Acta, 78, 45 (1990).
34. S. Fujita, J. Math. Chem., 5, 99 (1990).
35. S. Fujita, Theor. Chim. Acta, 91, 291 (1995).
36. S. Fujita, Theor. Chim. Acta, 91, 315 (1995).
37. S. Fujita, Theor. Chem. Acc., 99, 224 (1998).
38. S. Fujita, Bull. Chem. Soc. Jpn., 71, 2071 (1998).
39. S. Fujita, Bull. Chem. Soc. Jpn., 71, 1587 (1998).
40. S. Fujita, Bull. Chem. Soc. Jpn., 63, 203 (1990).