Fachbereich 12 - Mathematik und Informatik Philips Universität Marburg
»  Discrete Mathematics  »  Publications

Preprints by the Discrete Math Group


Frank Heckenbach, Jean-Guilleaume Dumas, Dave Saunders, Volkmar Welker
Simplicial Homology (Manual for a proposed GAP-Package)
(Postscript document)

H. Barcelo, C. Greene, A. S. Jarrah, V. Welker
On the vanishing of discrete singular cubical homology for graphs

G. Katz, B. Shapiro, V. Welker
Real polynomials with constrained real divisors. I. Fundamental groups

E. Babson, V. Welker
Higher dimensional connectivity and minimal degree of random graphs with an eye towards minimal free resolutions

H. Barcelo, C. Greene, A.S. Jarrah, V. Welker
Homology of cubical sets with connections

W. Hochstättler, V. Welker
The Varchenko determinant for oriented matroids
(Math. Z. to appear)

A. Conca, V. Welker
Lovasz-Saks-Schrijver ideals and coordinate sections of determinantal varieties
(Algebra and Number Theory to appear)

A. Rapp
Products of stabilizing representations

A. Rapp
Representation stability on the cohomology of complements of subspace arrangements
(Algebraic Combinatorics to appear)

Interdisciplinary Work


Joachim Hornegger, Volmar Welker, Heinrich Niemann
Localization and classification based on projections Pattern recognition 35 (2002) 1225--1235

Raphael Fuchs, Volkmar Welker, Joachim Hornegger
Non-convex Polyhedral Volume of Interest Selection Journal of Computerized Medical Imaging and Graphics, 34 (2010) 105--113.

Weiwei Cheng, Eyke Hüllermeier, Willem Waegeman, Volkmar Welker
Label ranking with partial abstention based on thresholded probabilistic models
Advances in Neural Information Processing Systems 25 (NIPS-12) (2012) 2510--2518.

Ekkehard Batzies, Lukas, Katthän, Volkmar Welker, Oliver Zirn
Optimal damping of servo axis using Gröbner bases
Optimization and Engineering 15 (2015) 183--201.




Helene Barcelo, Joseph Kung, Volkmar Welker
Proceedings of FPSAC 2001 (Phoenix, AZ)
Advances in Applied Mathematics , Volume 30, Elsevier, 2003.

Alexander Barvinok, Matthias Beck, Christian Haase, Bruce Reznick, Volkmar Welker
Integer points in polyhedra : Geometry, Number Theory, Algebra, Optimization
Contemporary Math. 374, Amer. Math. Soc., Providence, RI, 2005.

Gunnar Floystad, Peter Orlik, Volkmar Welker Algebraic Combinatorics
Lectures on Arrangements and Cellular Resolutions at a Summer School in Nordfjordeid, Norway, 2003
Springer Verlag, Heidelberg, 2007.

Matthias Beck, Christian Haase, Bruce Reznick, Michele Vergne, Volkmar Welker, Ruriko Yoshida
Integer Points in Polyhedra
Contemporary Math. 452, approx. 193 pp; Amer. Math. Soc., Providence, RI, 2008.


  • J. Hornegger, V. Welker: Computer aided selection method for a portion of a volume, Patent WO002004027641A3, pending.
  • C. Georg, J. Hornegger, K.J. Klose, V. Welker: Method and x-ray system for detecting position changes of a medical implant, DE000010316558B4. granted 2005.