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Complexity of optimizing over the integers (Q6160281)

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scientific article; zbMATH DE number 7700907

Language	Label	Description	Also known as
English	Complexity of optimizing over the integers	scientific article; zbMATH DE number 7700907

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scholarly article

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Complexity of optimizing over the integers (English)

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zbMATH Open document ID

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10.1007/s10107-022-01862-z

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Mathematical Programming. Series A. Series B

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publication date

23 June 2023

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full work available at URL

https://arxiv.org/abs/2110.06172

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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Split Cuts in the Plane

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A brief history of linear and mixed-integer programming computation

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Hard Knapsack Problems

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Chvátal closures for mixed integer programming problems

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On Integer Programming and the Branch-Width of the Constraint Matrix

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Subdeterminants and Concave Integer Quadratic Programming

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Mixed-integer quadratic programming is in NP

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Minimizing Cubic and Homogeneous Polynomials over Integers in the Plane

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A Polyhedral Study of Binary Polynomial Programs

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The Multilinear Polytope for Acyclic Hypergraphs

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Integer quadratic programming in the plane

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Branch-and-bound solves random binary IPs in poly\((n)\)-time

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Lower bounds on the size of general branch-and-bound trees

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Convexity in cristallographical lattices

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Integer Programming and Algorithmic Geometry of Numbers

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Bounds on the Chvatal rank of polytopes in the 0/1-cube

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An application of simultaneous diophantine approximation in combinatorial optimization

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On integer programming with bounded determinants

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Geometric algorithms and combinatorial optimization

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Partitions of mass-distributions and of convex bodies by hyperplanes

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Integer optimization on convex semialgebraic sets

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On the Complexity of Nonlinear Mixed-Integer Optimization

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Discretely ordered modules as a first-order extension of the cutting planes proof system

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Integer Programming with a Fixed Number of Variables

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Cook, Kannan and Schrijver's example revisited

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Mixed Integer Programming Computation

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A deterministic single exponential time algorithm for most lattice problems based on voronoi cell computations

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A Deterministic Single Exponential Time Algorithm for Most Lattice Problems Based on Voronoi Cell Computations

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Introductory lectures on convex optimization. A basic course.

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Integer convex minimization by mixed integer linear optimization

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Nonlinear discrete optimization. An algorithmic theory

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On the complexity of integer programming

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Computability and Noncomputability in Classical Analysis

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Lower bounds for resolution and cutting plane proofs and monotone computations

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On the Width of Semialgebraic Proofs and Algorithms

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0/1 Polytopes with Quadratic Chvátal Rank

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Distances between non-symmetric convex bodies and the \(MM^*\)-estimate

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An observation on the structure of production sets with indivisibilities

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Mathematics(1 entry)

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