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List of Mathematical Publications

  1. (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.
  2. (with C. Krattenthaler ) Lattice path proofs for determinant formulas for symplectic and orthogonal characters, J. Combin. Theory Ser. A 77 (1997), 3-50.
  3. (with C. Krattenthaler ), A bijection between Proctor's and Sundaram's odd orthogonal tableaux, Discrete Math. 161 (1996), 101-120.
  4. A Schur Function Identity, J. Combinatorial Theory A 77 No. 1 (1997).
  5. On Pairs of Lattice Paths with a given Number of Intersections, , J. Combinatorial Theory A 78 No. 1 (1997).
  6. Dual rook polynomials, Discrete Mathematics 177 (1997), 67-81.
  7. (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.
  8. (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.
  9. (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.
  10. (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.
  11. A continued fraction expansion for a q-tangent function, Seminaire Lotharingien de Combinatoire, vol. 45 (also available as math.CO/0008180 ).
  12. 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.
  13. Nonintersecting lattice paths on the cylinder, Seminaire Lotharingien de Combinatoire, vol. 52, 2004, (also available as math.CO/0311331).
  14. Asymptotic behaviour of the average height of watermelons, Electronic Journal of Combinatorics 14(1), 2007, R64.
  15. Graphical Condensation, Overlapping Pfaffians and Superpositions of Matchings , Electronic Journal of Combinatorics 17(1), 2010, R83.
  16. Viewing determinants as nonintersecting lattice paths yields classical determinantal identities bijectively, Electronic Journal of Combinatorics 19(3), 2012, P21.
  17. A combinatorial proof for Cayley's identity, Electronic Journal of Combinatorics 21(4), 2014, P40.

Mathematical Publications in Progress

  1. Bijective proofs for Schur function identities (PDF-File, 246KB; also available as arXiv:0909.5334 [math.CO] ).

Other Work

  1. Die Sätze von Hall, Menger und Ford & Fulkerson, Masters thesis, (1987), University of Vienna.
  2. Analyse spekulativer Preise, Software package for the Austrian Institute of Economic Research (Österreichisches Wirtschaftsforschungsinstitut) (1992).
  3. Untersuchung spezieller Polynome im Zusammenhang mit spannenden Teilgraphen, Ph.D. thesis, (1993), University of Vienna.
Last update: 2010-2-10 15:34:37 markus.fulmek@univie.ac.at