The Sage Mathematics Software System (Version 9.3) SageMath The Sage Developers, 0 | 347* | |
Nonlinear integer programming R Hemmecke, M Köppe, J Lee, R Weismantel 50 Years of Integer Programming 1958-2008, 561-618, 2010 | 256* | 2010 |
Algebraic and geometric ideas in the theory of discrete optimization JA De Loera, R Hemmecke, M Köppe SIAM, 2013 | 160 | 2013 |
How to integrate a polynomial over a simplex V Baldoni, N Berline, J De Loera, M Köppe, M Vergne Mathematics of Computation 80 (273), 297-325, 2011 | 119 | 2011 |
Software for exact integration of polynomials over polyhedra JA De Loera, B Dutra, M Koeppe, S Moreinis, G Pinto, J Wu Computational Geometry 46 (3), 232-252, 2013 | 97 | 2013 |
Parametric integer programming algorithm for bilevel mixed integer programs M Köppe, M Queyranne, CT Ryan Journal of optimization theory and applications 146 (1), 137-150, 2010 | 94 | 2010 |
A primal Barvinok algorithm based on irrational decompositions M Köppe SIAM Journal on Discrete Mathematics 21 (1), 220-236, 2007 | 77 | 2007 |
Computing parametric rational generating functions with a primal Barvinok algorithm M Köppe, S Verdoolaege arXiv preprint arXiv:0705.3651, 2007 | 75 | 2007 |
On the complexity of nonlinear mixed-integer optimization M Köppe Mixed Integer Nonlinear Programming, 533-557, 2011 | 72 | 2011 |
A user’s guide for LattE integrale v1. 7.3, 2015 V Baldoni, N Berline, JA De Loera, B Dutra, M Köppe, S Moreinis, G Pinto, ... Software package. LattE is available at http://www. math. ucdavis. edu/~ latte, 0 | 68* | |
Integer polynomial optimization in fixed dimension JA De Loera, R Hemmecke, M Köppe, R Weismantel Mathematics of Operations Research 31 (1), 147-153, 2006 | 65 | 2006 |
SBROME: a scalable optimization and module matching framework for automated biosystems design L Huynh, A Tsoukalas, M Köppe, I Tagkopoulos ACS synthetic biology 2 (5), 263-273, 2013 | 54 | 2013 |
Intermediate sums on polyhedra: computation and real Ehrhart theory V Baldoni, N Berline, M Köppe, M Vergne Mathematika 59 (1), 1-22, 2013 | 50 | 2013 |
A new Lenstra-type Algorithm for Quasiconvex Polynomial Integer Minimization with Complexity 2^ O (n log n) R Hildebrand, M Köppe Arxiv preprint arXiv:1006.4661, 2010 | 48* | 2010 |
The integral basis method for integer programming UU Haus, M Köppe, R Weismantel Mathematical Methods of Operations Research 53 (3), 353-361, 2001 | 45 | 2001 |
Ehrhart polynomials of matroid polytopes and polymatroids JA De Loera, DC Haws, M Köppe Discrete & computational geometry 42, 670-702, 2009 | 44 | 2009 |
Rational Generating Functions and Integer Programming Games M Köppe, CT Ryan, M Queyranne Operations research 59 (6), 1445-1460, 2011 | 41 | 2011 |
Challenging computations of Hilbert bases of cones associated with algebraic statistics W Bruns, R Hemmecke, B Ichim, M Köppe, C Söger Experimental Mathematics 20 (1), 25-33, 2011 | 40 | 2011 |
Pareto optima of multicriteria integer linear programs JA De Loera, R Hemmecke, M Köppe INFORMS Journal on Computing 21 (1), 39-48, 2009 | 39 | 2009 |
A -Slope Theorem for the -Dimensional Infinite Group Relaxation A Basu, R Hildebrand, M Köppe, M Molinaro SIAM Journal on Optimization 23 (2), 1021-1040, 2013 | 37 | 2013 |