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)
Christos Athanasiadis, Volkmar Welker
Buchsbaum* complexes
(Math. Z. to appear)
Bernd Sturmfels, Volkmar Welker
Commutative algebra of statistical ranking
(J. Algebra to appear)
Lukas Katthän
On homology spheres with few minimal non faces
(Proc. Amer. Math. Soc. to appear)
Bernhard Altaner, Jürgen Vollmer, Stefan Grosskinsky, Lukas Katthän, Marc Timme, Stephan Herminghaus
Flux cycles as building blocks of non-equilibrium steady states
Vic Reiner, Franco Soliola, Volkmar Welker
Spectra of symmetrized shuffling operators
Hery Randriamaro
Diagonalization of the matrices of the multinomial descent and
multinomial inversion statistics on the symmetric group
Martina Kubitzke, Volkmar Welker
Enumerative g-theorems for the Veronese construction for formal power series and graded algebras
Jürgen Herzog, Volkmar Welker, Siamak Yassemi
Homology of powers of ideals: Artin-Rees numbers of syzygies and the Golod property
Istvan Heckenberger, Volkmar Welker
A deformation of the Orlik-Solomon algebra
Lukas Katthän
The linear ordering polytope via representations
Lukas Katthän
Decomposing sets of inversions
Takayuki Hibi, Lukas Katthän
Edge rings satisfying condition R1
Interdisciplinary Work
Ekkehard Batzies, M. Kreutzer, Dennis Leucht, Volkmar Welker, Oliver Zirn.
Calibration of a robust 2 DOF path monitoring tool for industrial
robots and machine tools based on parallel kinematics.
Proc. Annual Meeting of the ASPE (American Association of Precision
Engineering) 2007.
Ekkehard Batzies, Volkmar Welker, Oliver Zirn, T. Schöller
Optimal control of direct driven feed axes with flexible structural
components.
Proc.IEEE Conference on Power Electronics and Drives Systems (PEDS 2007).
2007.
Raphael Fuchs, Volkmar Welker, Joachim Hornegger
Non-convex Polyhedral Volume of Interest Selection
Journal of Computerized Medical Imaging and Graphics to appear 2009.
Books/Proceedings
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.
Patents
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.
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