Matthias Köppe

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe: Algebraic and Geometric Ideas in the Theory of Discrete Optimization. MOS-SIAM Series on Optimization 14, SIAM 2013, isbn 978-1-61197-243-6, pp. I-XIX, 1-322

Jesús A. De Loera, B. Dutra, Matthias Köppe, S. Moreinis, G. Pinto, J. Wu: Software for exact integration of polynomials over polyhedra. Comput. Geom. 46(3): 232-252 (2013)

Robert Hildebrand, Matthias Köppe: A new Lenstra-type algorithm for quasiconvex polynomial integer minimization with complexity 2^O(nlogn). Discrete Optimization 10(1): 69-84 (2013)

Amitabh Basu, Robert Hildebrand, Matthias Köppe: Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem: II. The Unimodular Two-Dimensional Case. IPCO 2013: 62-73

Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Köppe, Michèle Vergne: Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra. Foundations of Computational Mathematics 12(4): 435-469 (2012)

Amitabh Basu, Gérard Cornuéjols, Matthias Köppe: Unique Minimal Liftings for Simplicial Polytopes. Math. Oper. Res. 37(2): 346-355 (2012)

Amitabh Basu, Robert Hildebrand, Matthias Köppe: Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. II. The Unimodular Two-Dimensional Case. CoRR abs/1210.6732 (2012)

Elke Eisenschmidt, Raymond Hemmecke, Matthias Köppe: Computation of atomic fibers of Z-linear maps. Contributions to Discrete Mathematics 6(2) (2011)

Winfried Bruns, Raymond Hemmecke, Bogdan Ichim, Matthias Köppe, Christof Söger: Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics. Experimental Mathematics 20(1): 25-33 (2011)

Matthias Köppe, Christopher Thomas Ryan, Maurice Queyranne: Rational Generating Functions and Integer Programming Games. Operations Research 59(6): 1445-1460 (2011)

Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Köppe, Michèle Vergne: How to integrate a polynomial over a simplex. Math. Comput. 80(273): 297-325 (2011)

Amitabh Basu, Robert Hildebrand, Matthias Köppe: Algorithmic and Complexity Results for Cutting Planes Derived from Maximal Lattice-Free Convex Sets. CoRR abs/1107.5068 (2011)

Amitabh Basu, Robert Hildebrand, Matthias Köppe: The Triangle Closure is a Polyhedron. CoRR abs/1111.1780 (2011)

Raymond Hemmecke, Matthias Köppe, Robert Weismantel: A Polynomial-Time Algorithm for Optimizing over N-Fold 4-Block Decomposable Integer Programs. IPCO 2010: 219-229

Robert Hildebrand, Matthias Köppe: A Faster Algorithm for Quasi-convex Integer Polynomial Optimization. CoRR abs/1006.4661 (2010)

Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Köppe, Michèle Vergne: Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. CoRR abs/1011.1602 (2010)

Velleda Baldoni, Nicole Berline, Matthias Köppe, Michèle Vergne: Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory. CoRR abs/1011.6002 (2010)

Jesús A. De Loera, David C. Haws, Matthias Köppe: Ehrhart Polynomials of Matroid Polytopes and Polymatroids. Discrete & Computational Geometry 42(4): 670-702 (2009)

Jesús A. De Loera, David C. Haws, Matthias Köppe: Ehrhart Polynomials of Matroid Polytopes and Polymatroids. Discrete & Computational Geometry 42(4): 703-704 (2009)

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe: Pareto Optima of Multicriteria Integer Linear Programs. INFORMS Journal on Computing 21(1): 39-48 (2009)

Matthias Köppe, Sven Verdoolaege: Computing Parametric Rational Generating Functions with a Primal Barvinok Algorithm. Electr. J. Comb. 15(1) (2008)

Matthias Köppe, Quentin Louveaux, Robert Weismantel: Intermediate integer programming representations using value disjunctions. Discrete Optimization 5(2): 293-313 (2008)

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe, Robert Weismantel: FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension. Math. Program. 115(2): 273-290 (2008)

Matthias Köppe, Sven Verdoolaege, Kevin M. Woods: An Implementation of the Barvinok--Woods Integer Projection Algorithm. ITSL 2008: 53-59

Matthias Köppe, Christopher Thomas Ryan, Maurice Queyranne: Rational Generating Functions and Integer Programming Games. CoRR abs/0809.0689 (2008)

Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Köppe, Michèle Vergne: How to Integrate a Polynomial over a Simplex. CoRR abs/0809.2083 (2008)

Matthias Köppe: A Primal Barvinok Algorithm Based on Irrational Decompositions. SIAM J. Discrete Math. 21(1): 220-236 (2007)

Matthias Jach, Matthias Köppe, Robert Weismantel: Nondecomposable solutions to group equations and an application to polyhedral combinatorics. 4OR 4(1): 29-46 (2006)

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe, Robert Weismantel: Integer Polynomial Optimization in Fixed Dimension. Math. Oper. Res. 31(1): 147-153 (2006)

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe, Robert Weismantel: FPTAS for mixed-integer polynomial optimization with a fixed number of variables. SODA 2006: 743-748

Matthias Köppe, Quentin Louveaux, Robert Weismantel, Laurence A. Wolsey: Extended formulations for Gomory Corner polyhedra. Discrete Optimization 1(2): 141-165 (2004)

Matthias Köppe, Robert Weismantel: Cutting planes from a mixed integer Farkas lemma. Oper. Res. Lett. 32(3): 207-211 (2004)

Martin Henk, Matthias Köppe, Robert Weismantel: Integral decomposition of polyhedra and some applications in mixed integer programming. Math. Program. 94(2-3): 193-206 (2003)

Utz-Uwe Haus, Matthias Köppe, Robert Weismantel: A primal all-integer algorithm based on irreducible solutions. Math. Program. 96(2): 205-246 (2003)

Matthias Köppe, Robert Weismantel: An algorithm for mixed integer optimization. Math. Program. 98(1-3): 281-307 (2003)

Claudio Gentile, Utz-Uwe Haus, Matthias Köppe, Giovanni Rinaldi, Robert Weismantel: A Primal Approach to the Stable Set Problem. ESA 2002: 525-537

Utz-Uwe Haus, Matthias Köppe, Robert Weismantel: The integral basis method for integer programming. Math. Meth. of OR 53(3): 353-361 (2001)