Redfield's 1937 Lecture

Match

Volumn 41, Issue , 2000, Pages 29-41

  Lloyd, E Keith ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012029244     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Burnside, W., Theory of Groups of Finite Order, Cambridge Univ. Press, London, 1897 (2nd ed 1911, reprinted Dover, New York, 1955).
2. Burstyn, Harold L., entry on: William C. Redfield, Dictionary of Scientific Biography, Vol. 11, Charles Scribner's Sons, New York, 1975.
3. Foulkes, H.O., On Redfield's group reduction functions, Canadian J. Math., 15, 1963, 272-284.
4. Hall, J.I., Palmer, E.M. and Robinson, R.W., Redfield's lost paper in a modern context, J. Graph Theory, 8, 1984, 225-240.
5. Harary, Frank, Unsolved problems in the enumeration of graphs, Publications Math. Inst. Hungarian Acad. Sci., 5, 1960, 63-95 (Addendum I of this paper discusses Redfield's work).
6. Harary, Frank and Palmer, Edgar M., Graphical Enumeration, Academic Press, New York, 1973.
7. Harary, Frank and Robinson, Robert W., The rediscovery of Redfield's papers, J. Graph Theory, 8, 1984, 191-193.
8. Kerber, Adalbert, Applied Finite Group Actions, 2nd ed, Springer, Berlin, 1999.
9. Littlewood, D.E., The Theory of Group Characters, Oxford Univ. Press, Oxford, 1940 (2nd edn, 1950).
10. Lloyd, E. Keith, J. Howard Redfield 1879-1944, J. Graph Theory, 8, 1984, 195-203.
11. Lloyd, E. Keith, Redfield's papers and their relevance to counting isomers and isomerizations, Discrete Appl. Math., 19, 1988, 289-304; reprinted in: Applications of Graphs in Chemistry and Physics, (ed. J.W. Kennedy and L.V. Quintas), North-Holland, Amsterdam, 1988, 289-304.
12. Lloyd, E. Keith, Redfield's papers and their relevance to counting isomers and isomerizations, Discrete Appl. Math., 19, 1988, 289-304; reprinted in: Applications of Graphs in Chemistry and Physics, (ed. J.W. Kennedy and L.V. Quintas), North-Holland, Amsterdam, 1988, 289-304.
13. Lloyd, E. Keith, Redfield's proofs of MacMahon's conjecture, Historia Mathematica, 17, 1990, 36-47.
14. Lloyd, E. Keith, Marks of permutation groups and isomer enumeration, J. Math. Chem., 11, 1992, 207-222.
15. MacMahon, P.J., Combinatory Analysis, Vols. I and II, Cambridge Univ. Press, Cambridge, 1915-1916.
16. Pólya, G., Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen, Acta Math., 68, 1937, 145-254.
17. Pólya, G. and Read, R.C., Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds, Springer, New York, 1987.
18. Redfield, John Howard, Genealogical History of the Redfield Family in the United States, Munsell & Rowland, Albany and C.B. Richardson, New York, 1860. (Modern reprint: Tuttle Antiquarian Books, Rutland, Vermont, no date.)
19. Redfield, J. Howard, The theory of group-reduced distributions, Amer. J. Math., 49, 1927, 433-455.
20. Redfield, J. Howard, Further development of the theory of group-reduced distributions, 1935 (unpublished typescript).
21. Redfield, J. Howard, Group theory applied to combinatory analysis, typescript of a lecture, 1937 (published in this issue of Match).
22. Redfield, J. Howard, Enumeration by frame group and range groups. J. Graph Theory, 8, 1984, 205-223 (written in 1940).
23. Sheehan, J., Redfield discovered again, in: Surveys in Combinatorics, (ed: E. Keith Lloyd), London Math. Soc. Lecture Note Series 82, Cambridge Univ. Press, Cambridge, 1983.