Enumeration under finite group action, basic tools, results and methods

Match

Volumn , Issue 46, 2002, Pages 151-198

  Kerber, A ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMISTRY; MATHEMATICAL ANALYSIS; TECHNIQUE; WEIGHT;

EID: 0036459133     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. W. Burnside. The Theory of Groups of Finite Order. Cambridge 1911, reprinted by Dover Publications, 1955.
2. S. El-Basil: Combinatorial Organic Chemistry: An Educational Approach. Nova Science Publishers Inc.,2000.
3. S. Fujita: Symmetry and Combinatorial Enumeration in Chemistry. Springer-Verlag, Berlin 1991.
4. W. Hässelbarth, E. Ruch, D. J. Klein, T. H. Seligman. Bilateral classes: A new class concept of group theory. Match 7, 341-348 (1979).
5. A. Kerber. Applied Finite Group Actions. Springer-Verlag 1998.
6. R. Laue: Eine konstruktive version des lemmas von Burnside. Bayreuther Mathematische Schriften, 28, 111-125, 1989.
7. R. Laue: Construction of combinatorial objects - A tutorial. Bayreuther Mathematische Schriften, 43, 53-96, 1993.
8. R. Laue: Construction of groups and the constructive approach to group actions. Proc. Third Int. School on Theoretical Physics, Zajaczkowo, Poland, 1-7 September 1994 T. Lulek, W. Florek, S. Walcerz (eds.), World Scientific 1995.
9. P. M. Neumann. A lemma that is not Burnside's. Math. Scientist 4, 133-141 (1979).
10. G. Pólya. Kombinatorische anzahlbestimmungen für gruppen, graphen und chemische verbindungen. Acta Mathematica, 68, pp. 145-253, 1937.
11. E. Ruch, W. Hässelbarth, B. Richter. Doppelnebenklassen als klassenbegriff und nomenklaturprinzip für isomere und ihre abzählung. Theoretica Chimica Acta, 19 (1970), 288-300.
12. E. Ruch, D. J. Klein. Double cosets in chemistry and physics. Theoretica Chimica Acta, 63 (1983), 447-472.
13. P. K. Stockmeyer. Enumeration of graphs with prescribed automorphism group. Dissertation, Ann Arbor, 1971.
14. E. M. Wright. Burnside's lemma: A historical note. J. Comb. Theory, Ser. B 30, 89-90 (1981).