List of Mathematical Publications
-
(with
H.
Fleischner)
P(D)-compatible Eulerian trails in digraphs and a new
splitting lemma, in Contemporary Methods in Graph Theory, R.
Bodendiek (ed.), (1990), 291--303.
-
(with
C. Krattenthaler
)
Lattice
path proofs for determinant formulas for symplectic and orthogonal characters,
J. Combin. Theory Ser. A 77 (1997), 3-50.
-
(with
C. Krattenthaler
),
A
bijection between Proctor's and Sundaram's odd orthogonal tableaux,
Discrete Math. 161 (1996), 101-120.
-
A Schur Function Identity, J. Combinatorial Theory A 77 No.
1 (1997).
-
On Pairs of Lattice Paths with a given Number of Intersections,
, J. Combinatorial Theory A 78 No. 1 (1997).
-
Dual rook polynomials, Discrete Mathematics 177 (1997), 67-81.
-
(with
C. Krattenthaler
),
The
number of rhombus tilings of a symmetric hexagon which contain a fixed
rhombus on the symmetry axis, I, Annals of Combinatorics 2
(1998), 19-41.
-
(with M. Ciucu and
C.
Krattenthaler
),
Enumeration
of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry
axis, Proc. of the Conf. Formal Power Series and Algebraic
Combinatorics, Toronto (1998), p 167-178.
-
(with
C. Krattenthaler
),
The
number of rhombus tilings of a symmetric hexagon which contain a fixed
rhombus on the symmetry axis, II, Europ.
J. Combin. 21 (2000), 601-640.
-
(with
M. Kleber
) Bijective
proofs for Schur function identities which imply Dodgson's condensation
formula and Plücker relations, Electronic
Journal of Combinatorics, (8), 2001, R16.
-
A continued fraction expansion for a q-tangent function,
Seminaire
Lotharingien de Combinatoire, vol. 45 (also available as
math.CO/0008180
).
-
Enumeration of permutations containing
a prescribed number of occurrences of a pattern of length three,
Paper in PDF-format
(also math.CO/0112092
), Adv. Appl. Math. 30 (2003), 607-632.
-
Nonintersecting lattice paths on the cylinder,
Seminaire
Lotharingien de Combinatoire, vol. 52, 2004, (also
available as
math.CO/0311331).
-
Asymptotic behaviour of the average height
of watermelons,
Electronic Journal of Combinatorics 14(1), 2007, R64.
-
Graphical Condensation, Overlapping Pfaffians and Superpositions of
Matchings
,
Electronic Journal of Combinatorics 17(1), 2010, R83.
-
Viewing determinants as nonintersecting lattice paths yields
classical determinantal identities bijectively,
Electronic Journal of Combinatorics 19(3), 2012, P21.
-
A combinatorial proof for Cayley's identity,
Electronic Journal of Combinatorics 21(4), 2014, P40.
Mathematical Publications in Progress
-
Bijective proofs for Schur function identities
(PDF-File, 246KB; also available as
arXiv:0909.5334 [math.CO]
).
Other Work
-
Die Sätze von Hall, Menger und Ford & Fulkerson, Masters
thesis, (1987), University of Vienna.
-
Analyse spekulativer Preise, Software package for the Austrian
Institute of Economic Research (Österreichisches Wirtschaftsforschungsinstitut)
(1992).
-
Untersuchung spezieller Polynome im Zusammenhang mit spannenden Teilgraphen,
Ph.D. thesis, (1993), University of Vienna.