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Gennadiy Averkov

Identifiers

  • name variant Gennadiy Averkov 0.60 · backfill

Papers (32)

  1. Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case math.MG · 2026 · author #1
  2. Difference between families of weakly and strongly maximal integral lattice-free polytopes math.CO · 2018 · author #1
  3. Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization math.OC · 2018 · author #1
  4. Local optimality of Zaks-Perles-Wills simplices math.CO · 2018 · author #1
  5. Equality case in van der Corput's inequality and collisions in multiple lattice tilings math.CO · 2018 · author #1
  6. Lattice simplices with a fixed positive number of interior lattice points: A nearly optimal volume bound math.CO · 2017 · author #1
  7. Approximation of corner polyhedra with families of intersection cuts math.OC · 2017 · author #1
  8. Maximum Semidefinite and Linear Extension Complexity of Families of Polytopes math.OC · 2016 · author #1
  9. Tight bounds on discrete quantitative Helly numbers math.CO · 2016 · author #1
  10. Notions of maximality for integral lattice-free polyhedra: the case of dimension three math.CO · 2015 · author #1
  11. Homometry and direct-sum decompositions of lattice-convex sets math.MG · 2014 · author #1
  12. Lifting properties of maximal lattice-free polyhedra math.OC · 2014 · author #1
  13. Largest integral simplices with one interior integral point: Solution of Hensley's conjecture and related results math.CO · 2013 · author #1
  14. Covariograms generated by valuations math.MG · 2013 · author #1
  15. On the convergence of the affine hull of the Chv\'atal-Gomory closures math.OC · 2012 · author #1
  16. Constructive proofs of some positivstellens\"atze for compact semialgebraic subsets of $\mathbb{R}^d$ math.AG · 2012 · author #1
  17. On finitely generated closures in the theory of cutting planes math.OC · 2011 · author #1
  18. A proof of Lov\'asz's theorem on maximal lattice-free sets math.OC · 2011 · author #1
  19. On maximal S-free sets and the Helly number for the family of S-convex sets math.OC · 2011 · author #1
  20. On finite generation and infinite convergence of generalized closures from the theory of cutting planes math.OC · 2011 · author #1
  21. On the size of lattice simplices with a single interior lattice point math.MG · 2011 · author #1
  22. On the reconstruction of planar lattice-convex sets from the covariogram math.MG · 2010 · author #1
  23. Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three math.OC · 2010 · author #1
  24. Inequalities for the lattice width of lattice-free convex sets in the plane math.MG · 2010 · author #1
  25. Transversal numbers over subsets of linear spaces math.OC · 2010 · author #1
  26. Description of polygonal regions by polynomials of bounded degree math.MG · 2010 · author #1
  27. Minimal polynomial descriptions of polyhedra and special semialgebraic sets math.AG · 2010 · author #1
  28. Three-dimensional polyhedra can be described by three polynomial inequalities math.MG · 2008 · author #1
  29. Notes on algebra and geometry of polynomial representations math.AG · 2008 · author #1
  30. Representing elementary semi-algebraic sets by a few polynomial inequalities: A constructive approach math.AG · 2008 · author #1
  31. Confirmation of Matheron's conjecture on the covariogram of a planar convex body math.MG · 2007 · author #1
  32. Representing simple d-dimensional polytopes by d polynomials math.MG · 2007 · author #1

Mentions

  • 1404.7421 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1309.7967 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1307.1529 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1210.6280 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1201.4066 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1110.3967 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1110.1014 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1109.6179 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1106.1526 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1103.0629 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1011.5530 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1010.1077 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1003.4365 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1002.0948 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1002.0941 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 1002.0921 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 0807.2137 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 0805.0522 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 0804.2134 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 0711.0572 #1 · backfill · confidence 0.70 Gennadiy Averkov
  • 0709.2099 #1 · backfill · confidence 0.70 Gennadiy Averkov

Frequent Coauthors