Lattice-free polytopes and their diameter
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Publication:1346126
DOI10.1007/BF02574028zbMath0817.52018OpenAlexW2017624835MaRDI QIDQ1346126
Publication date: 13 August 1995
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131347
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)
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Cites Work
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- Hamiltonicity in (0-1)-polyhedra
- The lattice polytope problem
- Lattice point simplices
- Covering minima and lattice-point-free convex bodies
- The ellipsoid method and its consequences in combinatorial optimization
- On the diameter of convex polytopes
- A monotonicity property of \(h\)-vectors and \(h^*\)-vectors
- The hypermetric cone is polyhedral
- The Hirsch conjecture is true for (0,1)-polytopes
- On the number of convex lattice polytopes
- Convexity in cristallographical lattices
- Layerwise construction ofL-bodies of lattices
- A counterexample to Borsuk’s conjecture
- The Intrinsic Spread of a Configuration in R d
- Integral Polyhedra in Three Space
- The d-Step Conjecture and Its Relatives
- The Empty Sphere
- A quasi-polynomial bound for the diameter\\of graphs of polyhedra
- A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
- Paths on Polytopes