References
- [1]
- B. Alegant. The Seventy-Seven Partitions of the
Aggregate: Analytical and Theoretical Implications. PhD
thesis, Eastman School of Music, University of Rochester,
1992.
- [2]
- N.G. de Bruijn. Pólya's Theory of Counting. In E.F.
Beckenbach, editor, Applied Combinatorial Mathematics,
chapter 5, pages 144 - 184. Wiley, New York, 1964.
- [3]
- N.G. de Bruijn. On the number of partition patterns of a
set. Nederl. Akad. Wetensch. Proc. Ser. A 82 = Indag. Math.
41, pages 229 - 234, 1979.
- [4]
- H. Fripertinger. Enumeration in Musical Theory.
Séminaire Lotharingien de Combinatoire, 476/S-26:29 - 42,
1992. ISSN 0755-3390.
- [5]
- H. Fripertinger. Endliche Gruppenaktionen auf
Funktionenmengen. Das Lemma von Burnside --
Repräsentantenkonstruktionen -- Anwendungen in der Musiktheorie.
Bayreuther Mathematische Schriften, 45:19 - 135, 1993.
ISSN 0172-1062.
- [6]
- GAP. Groups, Algorithms and Programming. Copyright by
"Lehrstuhl D für Mathematik, RWTH Aachen, Templergraben 64".
- [7]
- E.N. Gilbert and J. Riordan. Symmetry Types of Periodic
Sequences. Illinois Journal of Mathematics, 5:657 - 665,
1961.
- [8]
- F. Harary and E.M. Palmer. The Power Group Enumeration
Theorem. Journal of Combinatorial Theory, 1:157 - 173,
1966.
- [9]
- P. Isihara and M. Knapp. Basic
Z12-Analysis of Musical Chords. UMAP Journal
14.4, pages 319 - 348, 1993.
- [10]
- A. Kerber. Algebraic Combinatorics via Finite Group
Actions. B.I. Wissenschaftsverlag, Mannheim, Wien,
Zürich, 1991. ISBN 3-411-14521-8.
- [11]
- I. Morris and C.D. Wensley. Cycle indices and subgroup
lattices. Discrete Mathematics, 118:173 - 195, 1993.
- [12]
- R.C. Read. The enumeration of locally restricted graphs (I).
J. London Math. Soc., 34:417 - 436, 1959.
- [13]
- R.C. Read. The enumeration of locally restricted graphs (II).
J. London Math. Soc., 35:344 - 351, 1960.
- [14]
- R.C. Read. Four New Mathematical Problems in Music Theory. An
essay written in fulfilment of the requirements for the A.R.C.T. in
Theory, of The Royal Conservatory of Music, Toronto, 1994.
- [15]
- D.L. Reiner. Enumeration in Music Theory. Amer. Math.
Monthly, 92:51 - 54, 1985.
- [16]
- SYMMETRICA. A program system devoted to representation theory,
invariant theory and combinatorics of finite symmetric groups and
related classes of groups. Copyright by "Lehrstuhl II für
Mathematik, Universität Bayreuth, 95440 Bayreuth".
/axel/symneu_engl.html
.
- [17]
- Wan-Di Wei and Ju-Yong Xu. Cycle index of direct product of
permutation groups and number of equivalence classes of subsets of
Zv. Discrete Mathematics, 123:179 - 188,
1993.
- [18]
- D.E. White and S.G. Williamson. Combinatorial structures and
group invariant partitions. Proceedings of the American
Mathematical Society, 55:233 - 236, 1976.
harald.fripertinger "at" uni-graz.at, May 10,
2016