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)

C. Greene, V. Welker, G. Wille
On the homology of simplicial and cubical sets with symmetries

K. Piterman, V. Welker
Notes on the topology of independence structures

L. Mu, V. Welker
On a question about real rooted polynomials and f-polynomials of simplicial complexes

K. Adiprasito, A. Björner, J. Hakavuori, M. Margaritis, V. Welker
Subadditivity of shifts EIlenberg-Zibler shuffle products and homology of lattices

L. Mu, V. Welker
Total positivity and two inequalities by Athanasiadis and Tzanaki Annals of Combinatorics to appear

B. Brück, K. Piterman, V. Welker
The common basis complex and the partial dcompositions poset IMRN to appear

K. Piterman, V. Welker
Posets arising from decompositions of objects in a monoidal category Forum Math. Sigma to appear

E. Babson, V. Welker
Homological algebra and poset versions of the Garland method

J. Märte
Universal Limit Theorem for Spectra of iterated inclusion-uniform Subdivisions

K. Piterman, V. Welker
Homotopy properties of the complex of frames of a unitary space Journal of the London Math. Society to appear

G. Katz, B. Shapiro, V. Welker
Real polynomials with constrained real divisors. II. Cohomology & Stabilization

V. Welker
Which properties of Stanley-Reisner rings and simplicial complexes are topological ? in: I. Peeva (ed.): Commutative Algebra, Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday, Springer 2023.

G. Katz, B. Shapiro, V. Welker
Real polynomials with constrained real divisors. I. Fundamental groups Journal of Topology and Analysis to appear

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

A. Rapp
Products of stabilizing representations

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.

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.

 

 

 

 

• FB Mathematik und Informatik