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Gennadiy Averkov
Gennadiy Averkov
Brandenburg University of Technology
Verifisert e-postadresse på b-tu.de - Startside
Tittel
Sitert av
Sitert av
År
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
692011
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), 1187-1202, 2009
632009
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
462019
Transversal numbers over subsets of linear spaces
G Averkov, R Weismantel
Advances in Geometry 12 (1), 19-28, 2012
392012
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
362015
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
362013
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
332017
On finitely generated closures in the theory of cutting planes
G Averkov
Discrete Optimization 9 (4), 209-215, 2012
232012
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
222012
Retrieving convex bodies from restricted covariogram functions
G Averkov, G Bianchi
Advances in Applied Probability 39 (3), 613-629, 2007
212007
On cross-section measures in Minkowski spaces.
G Averkov
Extracta Mathematicae 18 (2), 201-208, 2003
212003
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
202013
Constructive Proofs of some Positivstellensätze for Compact Semialgebraic Subsets of ℝ d
G Averkov
Journal of Optimization Theory and Applications 158, 410-418, 2013
182013
On the geometry of simplices in Minkowski spaces
G Averkov
Stud. Univ. Zilina Math. Ser 16 (1), 1-14, 2003
182003
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
152017
On the size of lattice simplices with a single interior lattice point
G Averkov
SIAM Journal on Discrete Mathematics 26 (2), 515-526, 2012
142012
On reduced polytopes and antipodality
G Averkov, H Martini
Walter de Gruyter GmbH & Co. KG 8 (4), 615-626, 2008
122008
Sparse representation of vectors in lattices and semigroups
I Aliev, G Averkov, JA De Loera, T Oertel
Mathematical Programming 192 (1), 519-546, 2022
102022
Optimizing sparsity over lattices and semigroups
I Aliev, G Averkov, JA De Loera, T Oertel
International Conference on Integer Programming and Combinatorial …, 2020
102020
Maximum semidefinite and linear extension complexity of families of polytopes
G Averkov, V Kaibel, S Weltge
Mathematical Programming 167, 381-394, 2018
102018
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Artikler 1–20