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Matrix Relaxations in Combinatorial Optimization (Q2897308)

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Language	Label	Description	Also known as
English	Matrix Relaxations in Combinatorial Optimization	scientific article

Statements

scholarly article

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Matrix Relaxations in Combinatorial Optimization (English)

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Mixed Integer Nonlinear Programming

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publication date

10 July 2012

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zbMATH Keywords

semidefinite optimization

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lift-and-project

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integer programming

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4614-1927-3_17

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A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem

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New approximation guarantee for chromatic number

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An \(\tilde{O}(n^{3/14})\)-coloring algorithm for 3-colorable graphs

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Semi-definite relaxations for minimum bandwidth and other vertex-ordering problems

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On copositive programming and standard quadratic optimization problems

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Fastest Mixing Markov Chain on a Graph

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On the copositive representation of binary and continuous nonconvex quadratic programs

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A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization

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Assignment Problems

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Aspects of semidefinite programming. Interior point algorithms and selected applications

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Approximation of the Stability Number of a Graph via Copositive Programming

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On approximate graph colouring and MAX-\(k\)-CUT algorithms based on the \(\vartheta\)-function

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Copositive programming motivated bounds on the stability and the chromatic numbers

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Improved approximation algorithms for MAX \(k\)-cut and MAX BISECTION

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Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework

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Semidefinite programming in combinatorial optimization

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Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming

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Geometric algorithms and combinatorial optimization

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Computing Semidefinite Programming Lower Bounds for the (Fractional) Chromatic Number Via Block-Diagonalization

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The Operator $\Psi$ for the Chromatic Number of a Graph

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Semidefinite programming

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Numerical evaluation of SBmethod

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A spectral approach to bandwidth and separator problems in graphs

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A Spectral Bundle Method for Semidefinite Programming

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A Variational Approach to Copositive Matrices

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An Augmented Primal-Dual Method for Linear Conic Programs

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Approximate graph coloring by semidefinite programming

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On the hardness of approximating the chromatic number

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On the solution of large-scale SDP problems by the modified barrier method using iterative solvers

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Graph partitioning using linear and semidefinite programming

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On the Shannon capacity of a graph

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Cones of Matrices and Set-Functions and 0–1 Optimization

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Complexity Results for Bandwidth Minimization

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Regularization Methods for Semidefinite Programming

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Maxima for Graphs and a New Proof of a Theorem of Turán

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Some NP-complete problems in quadratic and nonlinear programming

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Exploiting sparsity in semidefinite programming via matrix completion. II: Implementation and numerical results

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The NP-completeness of the bandwidth minimization problem

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A Copositive Programming Approach to Graph Partitioning

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Copositive and semidefinite relaxations of the quadratic assignment problem

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A boundary point method to solve semidefinite programs

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Semidefinite Relaxations for Integer Programming

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Solving Max-cut to optimality by intersecting semidefinite and polyhedral relaxations

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A comparison of the Delsarte and Lovász bounds

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Combinatorial optimization. Polyhedra and efficiency (3 volumes)

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A Hierarchy of Relaxations between the Continuous and Convex Hull Representations for Zero-One Programming Problems

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A hierarchy of relaxations and convex hull characterizations for mixed- integer zero-one programming problems

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The Fastest Mixing Markov Process on a Graph and a Connection to a Maximum Variance Unfolding Problem

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A study of search directions in primal-dual interior-point methods for semidefinite programming

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Solving Large Scale Semidefinite Programs via an Iterative Solver on the Augmented Systems

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Semidefinite Programming

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Improving the performance guarantee for approximate graph coloring

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Handbook of semidefinite programming. Theory, algorithms, and applications

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A Newton-CG Augmented Lagrangian Method for Semidefinite Programming

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4614-1927-3_17

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2897308

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