Standard pairs and group relaxations in integer programming
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Publication:1295785
DOI10.1016/S0022-4049(99)00009-2zbMath1010.13016OpenAlexW2020277579WikidataQ114850259 ScholiaQ114850259MaRDI QIDQ1295785
Rekha R. Thomas, Serkan Hoşten
Publication date: 5 May 2003
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00009-2
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Integer programming (90C10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
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Cites Work
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- Constructions and complexity of secondary polytopes
- Linear Diophantine equations and local cohomology
- The Gröbner fan of an ideal
- Computing combinatorial decompositions of rings
- Syzygies of codimension 2 lattice ideals
- Variation of cost functions in integer programming
- The associated primes of initial ideals of lattice ideals
- Gröbner bases of toric varieties
- Bounds on degrees of projective schemes
- Gröbner bases of lattices, corner polyhedra, and integer programming
- Lifting projections of convex polyhedra
- Some polyhedra related to combinatorial problems
- Introduction to Toric Varieties. (AM-131)
- Neighborhood Systems for Production Sets with Indivisibilities
- Sensitivity theorems in integer linear programming
- The value function of an integer program
- On the foundations of linear and integer linear programming I
- What can be computed in algebraic geometry?
- A Geometric Buchberger Algorithm for Integer Programming
- ON THE RELATION BETWEEN INTEGER AND NONINTEGER SOLUTIONS TO LINEAR PROGRAMS
- Extensions of the Group Theoretic Approach in Integer Programming