Skip to main content
Log in

Subduction of coset representations

An application to enumeration of chemical structures

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Summary

Enumerations of compounds based on a parent skeleton with and without the influence of obligatory minimum valency (OMV) are reported. The effect of the OMV is formulated by assigning different weights to the respective orbits of the parent skeleton. This type of enumeration requires introduction of several new concepts that are derived from the subduction of coset representations, e.g., a unit subduced cycle index, a subduced cycle index and the number of suborbits.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Pólya G (1937) Acta Math 68:145; Pólya G Read RC (1987) Combinatorial enumeration of groups, graphs, and chemical compounds, Springer, Berlin Heidelberg New York

    Google Scholar 

  2. Pólya G, Tarjan RE, Woods DR (1983) Notes on introductory combinatories, chap 6. Birkhöuser, Boston

    Google Scholar 

  3. Liu CL (1969) Introduction to combinatorial mathematics. McGraw-Hill, New York

    Google Scholar 

  4. Biggs NL, Lloyd EK, Wilson RJ (1976) Graph theory 1736–1936, chap 4. Clarendon Press, Oxford

    Google Scholar 

  5. Balaban AT (ed) (1976) Chemical applications of graph theory. Academic Press, London

    Google Scholar 

  6. Ruch E, Hässelbarth W, Richter B (1970) Theor Chim Acta 19:288

    Google Scholar 

  7. Brocas J (1986) J Am Chem Soc 108:1135

    Google Scholar 

  8. Hässelbarth W (1985) Theor Chim Acta 67:339

    Google Scholar 

  9. Burnside W (1911) Theory of groups of finite order, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  10. Mead CA (1987) J Am Chem Soc 109:2130

    Google Scholar 

  11. Fujita S (1986) J Chem Inf Comput Sci 26:205

    Google Scholar 

  12. Fujita S (1986) J Chem Inf Comput Sci 26:221

    Google Scholar 

  13. Fujita S (1986) J Chem Inf Comput Sci 26:224

    Google Scholar 

  14. Fujita S (1988) Bull Chem Soc Japan, 61:4189

    Google Scholar 

  15. Fujita S (1986) J Chem Ed 63:744

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fujita, S. Subduction of coset representations. Theoret. Chim. Acta 76, 247–268 (1989). https://doi.org/10.1007/BF00532007

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00532007

Key words

Navigation