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On integer points in polyhedra

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Geometry of Numbers
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An Introduction to the Geometry of Numbers
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Geometric Algorithms and Combinatorial Optimization
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Algebraic approach in integer programming
inferredcites →https://doi.org/10.1007/bf01204716openalex-snapshot
On integer points in polyhedra: A lower bound
inferredcites →https://doi.org/10.1007/bf01582230openalex-snapshot
Sensitivity theorems in integer linear programming
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Brick decompositions and the matching rank of graphs
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The vertices of the knapsack polytope
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Theory of Linear and Integer Programming
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The Complexity of Enumeration and Reliability Problems
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On Counting Lattice Points in Polyhedra
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A random polynomial-time algorithm for approximating the volume of convex bodies
inferredcites →https://doi.org/10.1145/322139.322141openalex-snapshot
Two Algorithms for Determining Volumes of Convex Polyhedra
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On the complexity of integer programming
inferredcites →https://doi.org/10.1145/73007.73043openalex-snapshot
A random polynomial time algorithm for approximating the volume of convex bodies
inferredcites →https://doi.org/10.1287/moor.12.3.415openalex-snapshot
Minkowski's Convex Body Theorem and Integer Programming
inferredcites →https://doi.org/10.1287/moor.8.4.538openalex-snapshot
Integer Programming with a Fixed Number of Variables
inferredcites →https://doi.org/10.1287/opre.18.5.940openalex-snapshot
On the Unlimited Number of Faces in Integer Hulls of Linear Programs with a Single Constraint
inferredcites →https://doi.org/10.2307/253980openalex-snapshot
Theory of Linear and Integer Programming

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Combining Logic and Optimization in Cutting Plane Theory
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Computing the Integer Hull of Convex Polyhedral Sets
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Nonlinear Integer Programming
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Integer Polyhedra for Program Analysis
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Efficient Lattice Width Computation in Arbitrary Dimension
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On integer points in polyhedra: A lower bound
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Computing the Ehrhart polynomial of a convex lattice polytope
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The Randomized Integer Convex Hull
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The triangle closure is a polyhedron
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On approximation algorithms for concave mixed-integer quadratic programming
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Shrinking of Time Petri nets
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How to find the convex hull of all integer points in a polyhedron?
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Intersection cuts for single row corner relaxations
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On a Simple Connection Between $$\Delta$$-Modular ILP and LP, and a New Bound on the Number of Integer Vertices
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A Euclid style algorithm for MacMahon's partition analysis
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Note on the complexity of the mixed-integer hull of a polyhedron
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Computing efficiently the lattice width in any dimension
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Cutting planes in integer and mixed integer programming
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