Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three G Averkov, C Wagner, R Weismantel Mathematics of Operations Research 36 (4), 721-742, 2011 | 69 | 2011 |
Confirmation of Matheron's conjecture on the covariogram of a planar convex body G Averkov, G Bianchi Journal of the European Mathematical Society 11 (6), 1187, 2009 | 65 | 2009 |
Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization G Averkov SIAM Journal on Applied Algebra and Geometry 3 (1), 128-151, 2019 | 46 | 2019 |
Transversal numbers over subsets of linear spaces G Averkov, R Weismantel Advances in Geometry 12 (1), 19-28, 2012 | 41 | 2012 |
Largest integral simplices with one interior integral point: Solution of Hensley's conjecture and related results G Averkov, J Krümpelmann, B Nill Advances in Mathematics 274, 118-166, 2015 | 39 | 2015 |
On Maximal -Free Sets and the Helly Number for the Family of -Convex Sets G Averkov SIAM Journal on Discrete Mathematics 27 (3), 1610-1624, 2013 | 37 | 2013 |
Notions of maximality for integral lattice-free polyhedra: the case of dimension three G Averkov, J Krümpelmann, S Weltge Mathematics of Operations Research 42 (4), 1035-1062, 2017 | 34 | 2017 |
On finitely generated closures in the theory of cutting planes G Averkov Discrete Optimization 9 (4), 209-215, 2012 | 24 | 2012 |
Inequalities for the lattice width of lattice-free convex sets in the plane G Averkov, C Wagner Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 53 …, 2012 | 22 | 2012 |
Retrieving convex bodies from restricted covariogram functions G Averkov, G Bianchi Advances in Applied Probability 39 (3), 613-629, 2007 | 22 | 2007 |
On cross-section measures in Minkowski spaces. G Averkov Extracta Mathematicae 18 (2), 201-208, 2003 | 21 | 2003 |
A proof of Lovász’s theorem on maximal lattice-free sets G Averkov Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 54 …, 2013 | 20 | 2013 |
Constructive Proofs of some Positivstellensätze for Compact Semialgebraic Subsets of ℝ d G Averkov Journal of Optimization Theory and Applications 158, 410-418, 2013 | 18 | 2013 |
On the geometry of simplices in Minkowski spaces G Averkov Stud. Univ. Zilina Math. Ser 16 (1), 1-14, 2003 | 18 | 2003 |
Tight bounds on discrete quantitative Helly numbers G Averkov, BG Merino, I Paschke, M Schymura, S Weltge Advances in Applied Mathematics 89, 76-101, 2017 | 15 | 2017 |
On the size of lattice simplices with a single interior lattice point G Averkov SIAM Journal on Discrete Mathematics 26 (2), 515-526, 2012 | 15 | 2012 |
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 |
On reduced polytopes and antipodality G Averkov, H Martini Walter de Gruyter GmbH & Co. KG 8 (4), 615-626, 2008 | 12 | 2008 |
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 |
Maximum semidefinite and linear extension complexity of families of polytopes G Averkov, V Kaibel, S Weltge Mathematical Programming 167, 381-394, 2018 | 10 | 2018 |