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Gennadiy Averkov
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2020 – today
- 2024
- [j29]Manuel Aprile, Gennadiy Averkov, Marco Di Summa, Christopher Hojny:
The role of rationality in integer-programming relaxations. Math. Program. 205(1): 745-771 (2024) - [j28]Gennadiy Averkov, Matthias Schymura:
On the maximal number of columns of a Δ-modular integer matrix: bounds and computations. Math. Program. 206(1): 61-89 (2024) - 2023
- [j27]Gennadiy Averkov, Christopher Hojny, Matthias Schymura:
Computational aspects of relaxation complexity: possibilities and limitations. Math. Program. 197(2): 1173-1200 (2023) - [j26]Gennadiy Averkov, Christopher Hojny, Matthias Schymura:
Efficient MIP techniques for computing the relaxation complexity. Math. Program. Comput. 15(3): 549-580 (2023) - 2022
- [j25]Emily Speakman, Gennadiy Averkov:
Computing the volume of the convex hull of the graph of a trilinear monomial using mixed volumes. Discret. Appl. Math. 308: 36-45 (2022) - [j24]Iskander Aliev, Gennadiy Averkov, Jesús A. De Loera, Timm Oertel:
Sparse representation of vectors in lattices and semigroups. Math. Program. 192(1): 519-546 (2022) - [j23]Gennadiy Averkov, Matthias Schymura:
Complexity of linear relaxations in integer programming. Math. Program. 194(1): 191-227 (2022) - [c5]Gennadiy Averkov, Matthias Schymura:
On the Maximal Number of Columns of a $\varDelta $-modular Matrix. IPCO 2022: 29-42 - [i2]Manuel Aprile, Gennadiy Averkov, Marco Di Summa, Christopher Hojny:
The role of rationality in integer-programming relaxations. CoRR abs/2206.12253 (2022) - 2021
- [j22]Gennadiy Averkov, Giulia Codenotti, Antonio Macchia, Francisco Santos:
A local maximizer for lattice width of 3-dimensional hollow bodies. Discret. Appl. Math. 298: 129-142 (2021) - [j21]Gennadiy Averkov:
Equality Case in van der Corput's Inequality and Collisions in Multiple Lattice Tilings. Discret. Comput. Geom. 65(1): 212-226 (2021) - [j20]Gennadiy Averkov, Christopher Borger, Ivan Soprunov:
Classification of Triples of Lattice Polytopes with a Given Mixed Volume. Discret. Comput. Geom. 66(1): 165-202 (2021) - [c4]Gennadiy Averkov, Christopher Hojny, Matthias Schymura:
Computational Aspects of Relaxation Complexity. IPCO 2021: 368-382 - 2020
- [j19]Gennadiy Averkov:
Local optimality of Zaks-Perles-Wills simplices. Adv. Appl. Math. 112 (2020) - [c3]Iskander Aliev, Gennadiy Averkov, Jesús A. De Loera, Timm Oertel:
Optimizing Sparsity over Lattices and Semigroups. IPCO 2020: 40-51
2010 – 2019
- 2019
- [j18]Gennadiy Averkov:
Optimal Size of Linear Matrix Inequalities in Semidefinite Approaches to Polynomial Optimization. SIAM J. Appl. Algebra Geom. 3(1): 128-151 (2019) - 2018
- [j17]Gennadiy Averkov, Volker Kaibel, Stefan Weltge:
Maximum semidefinite and linear extension complexity of families of polytopes. Math. Program. 167(2): 381-394 (2018) - [j16]Gennadiy Averkov, Amitabh Basu, Joseph Paat:
Approximation of Corner Polyhedra with Families of Intersection Cuts. SIAM J. Optim. 28(1): 904-929 (2018) - 2017
- [j15]Gennadiy Averkov, Bernardo González Merino, Ingo Paschke, Matthias Schymura, Stefan Weltge:
Tight bounds on discrete quantitative Helly numbers. Adv. Appl. Math. 89: 76-101 (2017) - [j14]Gennadiy Averkov, Jan Krümpelmann, Stefan Weltge:
Notions of Maximality for Integral Lattice-Free Polyhedra: The Case of Dimension Three. Math. Oper. Res. 42(4): 1035-1062 (2017) - [c2]Gennadiy Averkov, Amitabh Basu, Joseph Paat:
Approximation of Corner Polyhedra with Families of Intersection Cuts. IPCO 2017: 51-62 - 2016
- [j13]Gennadiy Averkov, Barbara Langfeld:
Homometry and Direct-Sum Decompositions of Lattice-Convex Sets. Discret. Comput. Geom. 56(1): 216-249 (2016) - [i1]Gennadiy Averkov, Volker Kaibel, Stefan Weltge:
Maximum Semidefinite and Linear Extension Complexity of Families of Polytopes. CoRR abs/1605.08538 (2016) - 2015
- [j12]Gennadiy Averkov, Amitabh Basu:
Lifting properties of maximal lattice-free polyhedra. Math. Program. 154(1-2): 81-111 (2015) - 2014
- [c1]Gennadiy Averkov, Amitabh Basu:
On the Unique-Lifting Property. IPCO 2014: 76-87 - 2013
- [j11]Gennadiy Averkov:
Constructive Proofs of some Positivstellensätze for Compact Semialgebraic Subsets of ℝ d. J. Optim. Theory Appl. 158(2): 410-418 (2013) - [j10]Gennadiy Averkov, Michele Conforti, Alberto Del Pia, Marco Di Summa, Yuri Faenza:
On the Convergence of the Affine Hull of the Chvátal-Gomory Closures. SIAM J. Discret. Math. 27(3): 1492-1502 (2013) - [j9]Gennadiy Averkov:
On Maximal S-Free Sets and the Helly Number for the Family of S-Convex Sets. SIAM J. Discret. Math. 27(3): 1610-1624 (2013) - 2012
- [j8]Gennadiy Averkov, Barbara Langfeld:
On the Reconstruction of Planar Lattice-Convex Sets from the Covariogram. Discret. Comput. Geom. 48(1): 216-238 (2012) - [j7]Gennadiy Averkov:
On finitely generated closures in the theory of cutting planes. Discret. Optim. 9(4): 209-215 (2012) - [j6]Gennadiy Averkov:
On the Size of Lattice Simplices with a Single Interior Lattice Point. SIAM J. Discret. Math. 26(2): 515-526 (2012) - 2011
- [j5]Gennadiy Averkov, Christian Wagner, Robert Weismantel:
Maximal Lattice-Free Polyhedra: Finiteness and an Explicit Description in Dimension Three. Math. Oper. Res. 36(4): 721-742 (2011) - [j4]Gennadiy Averkov, Martin Henk:
Representing simple d-dimensional polytopes by d polynomials. Math. Program. 126(2): 203-230 (2011)
2000 – 2009
- 2009
- [j3]Gennadiy Averkov:
Detecting and reconstructing centrally symmetric sets from the autocorrelation: Two discrete cases. Appl. Math. Lett. 22(9): 1476-1478 (2009) - [j2]Gennadiy Averkov, Martin Henk:
Three-Dimensional Polyhedra Can Be Described by Three Polynomial Inequalities. Discret. Comput. Geom. 42(2): 166-186 (2009) - 2008
- [j1]Gennadiy Averkov, Horst Martini:
On pyramids and reducedness. Period. Math. Hung. 57(2): 117-120 (2008)
Coauthor Index
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