The integral basis method for integer programming. - Utz-Uwe Haus; Matthias Köppe; Robert Weismantel (Math. Methods Oper. Res., 2001)

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

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

Integral decomposition of polyhedra and some applications in mixed integer programming. - Martin Henk; Matthias Köppe; Robert Weismantel (Math. Program., 2003)

An algorithm for mixed integer optimization. - Matthias Köppe; Robert Weismantel (Math. Program., 2003)

On the Way to Perfection: Primal Operations for Stable Sets in Graphs. - Claudio Gentile; Utz-Uwe Haus; Matthias Köppe; Giovanni Rinaldi; Robert Weismantel (The Sharpest Cut, 2004)

Extended formulations for Gomory Corner polyhedra. - Matthias Köppe; Quentin Louveaux; Robert Weismantel; Laurence A. Wolsey (Discret. Optim., 2004)

Cutting planes from a mixed integer Farkas lemma. - Matthias Köppe; Robert Weismantel (Oper. Res. Lett., 2004)

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

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

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

Integrally indecomposable polytopes and the survivable network design problem. - Elke Eisenschmidt; Matthias Köppe (DRCN, 2007)

A Primal Barvinok Algorithm Based on Irrational Decompositions. - Matthias Köppe (SIAM J. Discret. Math., 2007)

An Implementation of the Barvinok–Woods Integer Projection Algorithm. - Matthias Köppe; Sven Verdoolaege; Kevin M. Woods (ITSL, 2008)

Computing Parametric Rational Generating Functions with a Primal Barvinok Algorithm. - Matthias Köppe; Sven Verdoolaege (Electron. J. Comb., 2008)

Intermediate integer programming representations using value disjunctions. - Matthias Köppe; Quentin Louveaux; Robert Weismantel (Discret. Optim., 2008)

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

Ehrhart Polynomials of Matroid Polytopes and Polymatroids. - Jesús A. De Loera; David C. Haws; Matthias Köppe (Discret. Comput. Geom., 2009)

Pareto Optima of Multicriteria Integer Linear Programs. - Jesús A. De Loera; Raymond Hemmecke; Matthias Köppe (INFORMS J. Comput., 2009)

Nonlinear Integer Programming. - Raymond Hemmecke; Matthias Köppe; Jon Lee 001; Robert Weismantel (50 Years of Integer Programming, 2010)

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

A Faster Algorithm for Quasi-convex Integer Polynomial Optimization - Robert Hildebrand; Matthias Köppe (CoRR, 2010)

Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory - Velleda Baldoni; Nicole Berline; Matthias Köppe; Michèle Vergne (CoRR, 2010)

Computation of atomic fibers of Z-linear maps. - Elke Eisenschmidt; Raymond Hemmecke; Matthias Köppe (Contributions Discret. Math., 2011)

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

Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics. - Winfried Bruns; Raymond Hemmecke; Bogdan Ichim; Matthias Köppe; Christof Söger (Exp. Math., 2011)

Rational Generating Functions and Integer Programming Games. - Matthias Köppe; Christopher Thomas Ryan; Maurice Queyranne (Oper. Res., 2011)

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

Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra. - Velleda Baldoni; Nicole Berline; Jesús A. De Loera; Matthias Köppe; Michèle Vergne (Found. Comput. Math., 2012)

Unique Minimal Liftings for Simplicial Polytopes. - Amitabh Basu; Gérard Cornuéjols; Matthias Köppe (Math. Oper. Res., 2012)

Algebraic and Geometric Ideas in the Theory of Discrete Optimization. - Jesús A. De Loera; Raymond Hemmecke; Matthias Köppe (SIAM, 2013)

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

Software for exact integration of polynomials over polyhedra. - Jesús A. De Loera; Brandon E. Dutra; Matthias Köppe; S. Moreinis; G. Pinto; J. Wu (Comput. Geom., 2013)

A new Lenstra-type algorithm for quasiconvex polynomial integer minimization with complexity 2O(nlogn). - Robert Hildebrand; Matthias Köppe (Discret. Optim., 2013)

A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation. - Amitabh Basu; Robert Hildebrand; Matthias Köppe; Marco Molinaro 001 (SIAM J. Optim., 2013)

Light on the Infinite Group Relaxation. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (CoRR, 2014)

The triangle closure is a polyhedron. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (Math. Program., 2014)

Graver basis and proximity techniques for block-structured separable convex integer minimization problems. - Raymond Hemmecke; Matthias Köppe; Robert Weismantel (Math. Program., 2014)

Coefficients of Sylvester's Denumerant. - Velleda Baldoni; Nicole Berline; Jesús A. De Loera; Brandon E. Dutra; Matthias Köppe; Michèle Vergne (Integers, 2015)

Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. I. The One-Dimensional Case. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (Math. Oper. Res., 2015)

An electronic compendium of extreme functions for the Gomory-Johnson infinite group problem. - Matthias Köppe; Yuan Zhou 002 (Oper. Res. Lett., 2015)

Software for Cut-Generating Functions in the Gomory-Johnson Model and Beyond. - Chun Yu Hong; Matthias Köppe; Yuan Zhou 002 (ICMS, 2016)

Toward Computer-Assisted Discovery and Automated Proofs of Cutting Plane Theorems. - Matthias Köppe; Yuan Zhou 002 (ISCO, 2016)

Light on the infinite group relaxation I: foundations and taxonomy. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (4OR, 2016)

Light on the infinite group relaxation II: sufficient conditions for extremality, sequences, and algorithms. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (4OR, 2016)

Generating Functions and Triangulations for Lecture Hall Cones. - Matthias Beck; Benjamin Braun; Matthias Köppe; Carla D. Savage; Zafeirakis Zafeirakopoulos (SIAM J. Discret. Math., 2016)

On the Notions of Facets, Weak Facets, and Extreme Functions of the Gomory-Johnson Infinite Group Problem. - Matthias Köppe; Yuan Zhou 002 (IPCO, 2017)

Structure and Interpretation of Dual-Feasible Functions. - Matthias Köppe; Jiawei Wang 010 (Electron. Notes Discret. Math., 2017)

Guided dive for the spatial branch-and-bound. - Gérard Dedieu; Matthias Köppe; Quentin Louveaux (J. Glob. Optim., 2017)

Equivariant perturbation in Gomory and Johnson's infinite group problem - III: foundations for the k-dimensional case with applications to k=2. - Amitabh Basu; Robert Hildebrand; Matthias Köppe (Math. Program., 2017)

New computer-based search strategies for extreme functions of the Gomory-Johnson infinite group problem. - Matthias Köppe; Yuan Zhou 002 (Math. Program. Comput., 2017)

Characterization and Approximation of Strong General Dual Feasible Functions. - Matthias Köppe; Jiawei Wang 010 (ISCO, 2018)

Equivariant perturbation in Gomory and Johnson's infinite group problem. VI. The curious case of two-sided discontinuous minimal valid functions. - Matthias Köppe; Yuan Zhou 002 (Discret. Optim., 2018)

Equivariant perturbation in Gomory and Johnson's infinite group problem (V). Software for the continuous and discontinuous 1-row case. - Chun Yu Hong; Matthias Köppe; Yuan Zhou 002 (Optim. Methods Softw., 2018)

On Perturbation Spaces of Minimal Valid Functions: Inverse Semigroup Theory and Equivariant Decomposition Theorem. - Robert Hildebrand; Matthias Köppe; Yuan Zhou 002 (IPCO, 2019)

Facets, weak facets, and extreme functions of the Gomory-Johnson infinite group problem. - Matthias Köppe; Yuan Zhou 002 (Math. Program., 2021)

Dual-feasible functions for integer programming and combinatorial optimization: Algorithms, characterizations, and approximations. - Matthias Köppe; Jiawei Wang 010 (Discret. Appl. Math., 2022)

Equivariant Perturbation in Gomory and Johnson's Infinite Group Problem. VII. Inverse Semigroup Theory, Closures, Decomposition of Perturbations. - Robert Hildebrand; Matthias Köppe; Yuan Zhou 002 (Open J. Math. Optim., 2022)

Fine-Grained Liquid Democracy for Cumulative Ballots. - Matthias Köppe; Martin Koutecký; Krzysztof Sornat; Nimrod Talmon (AAMAS, 2024)

The Reformation of Sage. - Matthias Köppe (ICMS, 2024)