Complete list
of the references of my publications
Complete list of the references of my publications
[1]
H. Fripertinger. Die Abzähltheorie von Pólya. Master's
thesis, Karl-Franzens-Universität Graz, 1991.
[2]
H. Fripertinger. Untersuchung über die Anzahl
verschiedener Intervalle, Akkorde, Tonreihen und anderer
musikalischer Objekte in n-Ton Musik. Master's thesis, Hochschule
für Musik und Darstellende Kunst, Graz, 1991.
[3]
H. Fripertinger. Enumeration in Musical Theory.
Séminaire Lotharingien de Combinatoire, 476/S-26:29 - 42,
1992. ISSN 0755-3390.
[4]
H. Fripertinger. Enumeration in Musical Theory.
Beiträge zur Elektronischen Musik, Heft 1, 1992.
Hochschule für Musik und Darstellende Kunst, Graz.
[5]
H. Fripertinger. Endliche Gruppenaktionen in
Funktionenmengen. Das Lemma von Burnside --
Repräsentantenkonstruktionen -- Anwendungen in der
Musiktheorie. PhD thesis, Karl-Franzens-Universität Graz,
1993.
[6]
H. Fripertinger. Endliche Gruppenaktionen auf
Funktionenmengen. Das Lemma von Burnside --
Repräsentantenkonstruktionen -- Anwendungen in der Musiktheorie.
Bayreuth. Math. Schr., 45:19 - 135, 1993.
ISSN 0172-1062.
[7]
H. Fripertinger and A. Kerber. Isometry Classes of
Indecomposable Linear Codes. In G. Cohen, M. Giusti, and
T. Mora, editors, Applied Algebra, Algebraic Algorithms
and Error-Correcting Codes, 11th International Symposium, AAECC-11,
Paris, France, July 1995, volume 948 of Lecture Notes in
Computer Science, pages 194-204. Springer, 1995.
[8]
H. Fripertinger. Zyklenzeiger linearer Gruppen und
Abzählung linearer Codes. Séminaire Lotharingien de
Combinatoire, Actes 33:1 - 10, 1995. ISSN 0755-3390.
[9]
H. Fripertinger. Enumeration of isometry classes of linear
(n,k)-codes over GF(q) in SYMMETRICA. Bayreuth. Math.
Schr., 49:215 - 223, 1995. ISSN 0172-1062.
[10]
H. Fripertinger. The Cycle Index of the Symmetry Group of
the Fullerene C60. match, 33:121-138, 1996.
ISSN 0340-6253.
[11]
H. Fripertinger. The Three-dimensional Cycle Index of the
Leapfrog of a Polyhedron. J. Chem. Inf. Comput. Sci.,
37(3):535-537, 1997.
[12]
H. Fripertinger. Enumeration of Linear Codes by Applying
Methods from Algebraic Combinatorics. Grazer Math. Ber.,
328:31 - 42, 1996.
[13]
H. Fripertinger. Cycle Indices of Linear, Affine and
Projective Groups. Linear Algebra and Its Applications,
263:133 - 156, 1997.
[14]
A. Betten, H. Fripertinger, A. Kerber,
A. Wassermann, and K.-H. Zimmermann. Codierungstheorie --
Konstruktion und Anwendung Linearer Codes. Springer, Berlin,
Heidelberg, New York, 1998. ISBN 3-540-64502-0.
[15]
H. Fripertinger. Enumeration, construction and random
generation of block codes. Designs, Codes and
Cryptography, 14:213-219, 1998.
[16]
H. Fripertinger. Random generation of linear codes.
Aequationes Math., 58:192-202, 1999.
[17]
H. Fripertinger. Enumeration of Mosaics. Discrete
Mathematics, 199:49-60, 1999.
[18]
H. Fripertinger and P. Schöpf. Endofunctions of given
cycle-type. Annales des Sciences Mathématiques du Québec,
23:173-187, 1999.
[19]
H. Fripertinger. Classification of motives: a mathematical
approach. To be published in Musikometrika, 1999.
[20]
H. Fripertinger. Enumeration and construction in music
theory. In H.G. Feichtinger and M. Dörfler, editors,
Computational and Mathematical Methods in Music, Vienna,
Austria, December 2-4, 1999, pages 179 - 204,
http://www.ocg.at, 1999. Österreichische
Computergesellschaft.
[21]
H. Fripertinger and J. Schwaiger. Some applications
of functional equations in astronomy. Grazer Math. Ber.,
344:1-6, 2001.
[22]
H. Fripertinger. Enumeration of non-isomorphic canons.
Tatra Mountains Mathematical Publications, 23:47-57,
2002.
[23]
H. Fripertinger. Group actions and the functional equation
of the mean sun. Comptes rendus mathématiques de l'Académie des
sciences. La Société Royale du Canada., 24(1):21-25,
2002.
[24]
H. Fripertinger. The functional equation of the mean sun
written as a group action. Grazer Math. Ber., 344:25-30,
2001.
[25]
H. Fripertinger and L. Reich. Generalizations of the
functional equation of the mean sun. Grazer Math. Ber.,
344:7-24, 2001.
[26]
H. Fripertinger, I. Gutman, A. Kerber,
A. Kohnert, and D. Vidovic. The Energy of a Graph and its
Size Dependence. An Improved Monte Carlo Approach. Zeitschrift
für Naturforschung, 56a:342-346, 2001.
[27]
H. Fripertinger and L. Reich. On covariant embeddings
of a linear functional equation with respect to an analytic
iteration group. International Journal of Bifurcation and
Chaos, 13(7):1853-1875, 2003.
[28]
H. Fripertinger and L. Reich. On a linear functional
equation for formal power series. Sitzungsberichte der Österr.
Akademie der Wissenschaften, Abt. II, 210:85-134, 2001.
[29]
H. Fripertinger and L. Reich. On covariant embeddings
of a linear functional equation with respect to an analytic
iteration group in some non-generic cases. Aequationes
Math., 68:60-87, 2004.
[30]
H. Fripertinger. Tiling problems in music theory. In
G. Mazzola, Th. Noll, and E. Lluis-Puebla, editors,
Perspectives in Mathematical and Computational Music
Theory, pages 153-168. epOs Music, Osnabrück, 2004. http://www.epos.uni-osnabrueck.de/music/books/m/ma_nl004/pages/153.htm.
[31]
H. Fripertinger, L. Reich, and J. Schwaiger. The
linear-affine functional equation and group actions.
Publicationes Mathematicae Debrecen, 64(1-2):209-235,
2004.
[32]
H. Fripertinger and L. Reich. On the general solution
of the system of cocycle equations without regularity conditions.
Aequationes Math., 68:200-229, 2004.
[33]
H. Fripertinger. Remarks on rhythmical canons. In
H. Fripertinger and L. Reich, editors, Colloquium on
Mathematical Music Theory, Proceedings of the colloquium on MaMuTh,
Graz, Austria, May 6-9, 2004, volume 347 of Grazer Math.
Ber., pages 73-90, 2005. ISSN 1016-7692.
[34]
H. Fripertinger. Enumeration of the semilinear isometry
classes of linear codes. In A. Kerber and A. Kohnert,
editors, ALCOMA'05, Proceedings of the Conference on Algebraic
Combinatorics and Applications, Designs and Codes, Thurnau,
Germany, April 3-10, 2005, volume 74 of Bayreuth.
Math. Schr., pages 100-122, 2005. ISSN 0172-1062.
[35]
H. Fripertinger and L. Reich. Covariant embeddings of
the linear functional equation with respect to an iteration group
in the ring of complex formal power series. In W. Förg-Rob,
L. Gardini, D. Gronau, L. Reich, and J. Smítal,
editors, Iteration Theory (ECIT `04), volume 350 of
Grazer Math. Ber., pages 96-121, 2006.
[36]
A. Betten, M. Braun, H. Fripertinger,
A. Kerber, A. Kohnert, and A. Wassermann.
Error-Correcting Linear Codes -- Classification by Isometry and
Applications. Springer, Berlin, Heidelberg, New York, 2006.
ISBN 3-540-28371-4.
[37]
H. Fripertinger and L. Reich. The formal translation
equation and formal cocycle equations for iteration groups of type
I. Aequationes Math., 76:54-91, 2008.
[38]
H. Fripertinger. On a functional equation involving group
actions. Aequationes Math., 77:25-32, 2009.
[39]
H. Fripertinger and L. Reich. The formal translation
equation for iteration groups of type II. Aequationes
Math., 79:111-156, 2010.
[40]
H. Fripertinger. The number of invariant subspaces under a
linear operator on finite vector spaces. In A. Kerber,
A. Kohnert, R. Laue, and A. Wassermann, editors,
ALCOMA 10, Proceedings of the Conference on Algebraic
Combinatorics and Applications, Designs and Codes, Thurnau,
Germany, April 11-18, 2010, volume 5 of Advances in
Mathematics of communications, pages 407-416, 2011.
ISSN 1930-5346.
harald.fripertinger "at" uni-graz.at, January 12,
2012
Complete list
of the references of my publications