An optimal lower bound for the Frobenius problem IM Aliev, PM Gruber Journal of Number Theory 123 (1), 71-79, 2007 | 54 | 2007 |
Expected Frobenius numbers I Aliev, M Henk, A Hinrichs Journal of Combinatorial Theory, Series A 118 (2), 525-531, 2011 | 51 | 2011 |
Sparse solutions of linear diophantine equations I Aliev, JA De Loera, T Oertel, C O'Neill SIAM Journal on Applied Algebra and Geometry 1 (1), 239-253, 2017 | 38 | 2017 |
The support of integer optimal solutions I Aliev, JA De Loera, F Eisenbrand, T Oertel, R Weismantel SIAM Journal on Optimization 28 (3), 2152-2157, 2018 | 33 | 2018 |
Siegel’s lemma and sum-distinct sets I Aliev Twentieth Anniversary Volume: Discrete & Computational Geometry, 1-8, 2009 | 30 | 2009 |
Solving algebraic equations in roots of unity I Aliev, C Smyth Walter de Gruyter GmbH & Co. KG 24 (3), 641-665, 2012 | 25 | 2012 |
A quantitative doignon-bell-scarf theorem I Aliev, R Bassett, JA De Loera, Q Louveaux Combinatorica 37, 313-332, 2017 | 24 | 2017 |
Feasibility of integer knapsacks I Aliev, M Henk SIAM Journal on Optimization 20 (6), 2978-2993, 2010 | 23 | 2010 |
Integer knapsacks: Average behavior of the Frobenius numbers I Aliev, M Henk Mathematics of Operations Research 34 (3), 698-705, 2009 | 23 | 2009 |
Distances to lattice points in knapsack polyhedra I Aliev, M Henk, T Oertel Mathematical Programming 182 (1), 175-198, 2020 | 21 | 2020 |
Parametric polyhedra with at least k lattice points: Their semigroup structure and the k-Frobenius problem I Aliev, JA De Loera, Q Louveaux Recent trends in combinatorics, 753-778, 2016 | 18 | 2016 |
Generalized Frobenius numbers: bounds and average behavior I Aliev, L Fukshansky, M Henk arXiv preprint arXiv:1105.0841, 2011 | 18 | 2011 |
Sparse representation of vectors in lattices and semigroups I Aliev, G Averkov, JA De Loera, T Oertel Mathematical Programming 192 (1), 519-546, 2022 | 12 | 2022 |
Integer programs with prescribed number of solutions and a weighted version of Doignon-Bell-Scarf’s theorem I Aliev, JA De Loera, Q Louveaux Integer Programming and Combinatorial Optimization: 17th International …, 2014 | 11 | 2014 |
Integer points in knapsack polytopes and s-covering radius I Aliev, M Henk, E Linke arXiv preprint arXiv:1211.3269, 2012 | 11 | 2012 |
On vectors whose span contains a given linear subspace I Aliev, A Schinzel, WM Schmidt Monatshefte für Mathematik 144 (3), 177-191, 2005 | 11 | 2005 |
Optimizing sparsity over lattices and semigroups I Aliev, G Averkov, JA De Loera, T Oertel International Conference on Integer Programming and Combinatorial …, 2020 | 10 | 2020 |
On the volume of hyperplane sections of a d-cube I Aliev Acta Mathematica Hungarica 163, 547-551, 2021 | 9 | 2021 |
Distance-sparsity transference for vertices of corner polyhedra I Aliev, M Celaya, M Henk, A Williams SIAM Journal on Optimization 31 (1), 200-216, 2021 | 8 | 2021 |
On a Decomposition of Integer Vectors I I Aliev Bull. Pol. Ac.: Math 49, 151-157, 2001 | 8 | 2001 |