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Nonpolyhedral Relaxations of Graph-Bisection Problems

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What this work says

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

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Combinatorial Properties and the Complexity of a Max-cut Approximation
inferredcites →https://doi.org/10.1006/eujc.1996.0020openalex-snapshot
Gap Inequalities for the Cut Polytope
inferredcites →https://doi.org/10.1007/bf01303512openalex-snapshot
The hypermetric cone is polyhedral
inferredcites →https://doi.org/10.1007/bf01581147openalex-snapshot
A computational study of graph partitioning
inferredcites →https://doi.org/10.1007/bf01585184openalex-snapshot
Laplacian eigenvalues and the maximum cut problem
inferredcites →https://doi.org/10.1007/bf02032130openalex-snapshot
A projection technique for partitioning the nodes of a graph
inferredcites →https://doi.org/10.1016/0024-3795(81)90143-9openalex-snapshot
Some applications of optimization in matrix theory
inferredcites →https://doi.org/10.1016/0166-218x(94)00155-7openalex-snapshot
Solving the max-cut problem using eigenvalues
inferredcites →https://doi.org/10.1016/0167-6377(83)90016-0openalex-snapshot
The max-cut problem on graphs not contractible to K5
inferredcites →https://doi.org/10.1016/0167-6377(94)90068-xopenalex-snapshot
The expected relative error of the polyhedral approximation of the max-cut problem
inferredcites →https://doi.org/10.1137/0609021openalex-snapshot
On Minimizing the Maximum Eigenvalue of a Symmetric Matrix
inferredcites →https://doi.org/10.1137/0802007openalex-snapshot
Large-Scale Optimization of Eigenvalues
inferredcites →https://doi.org/10.1137/0802008openalex-snapshot
A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
inferredcites →https://doi.org/10.1147/rd.175.0420openalex-snapshot
Lower Bounds for the Partitioning of Graphs
inferredcites →https://doi.org/10.1287/opre.36.3.493openalex-snapshot
An Application of Combinatorial Optimization to Statistical Physics and Circuit Layout Design

What points at this work

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

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The Maximum Cut Problem
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MAXk‐CUT and approximating the chromatic number of random graphs
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The Bundle Method for Hard Combinatorial Optimization Problems
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MAX k-CUT and Approximating the Chromatic Number of Random Graphs
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Max Cut
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Mathematical Programming Models and Exact Algorithms
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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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A Branch and Bound Algorithm for Max-Cut Based on Combining Semidefinite and Polyhedral Relaxations
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Max Cut
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Gap Inequalities for the Max-Cut Problem: A Cutting-Plane Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-642-58891-4_11openalex-snapshot
Relaxations of the Max Cut Problem and Computation of Spin Glass Ground States
inferred← citeshttps://doi.org/10.1007/978-94-015-8937-6_6openalex-snapshot
Some applications of Laplace eigenvalues of graphs
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Solving quadratic (0,1)-problems by semidefinite programs and cutting planes
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Node and edge relaxations of the Max-cut problem
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Semidefinite programming in combinatorial optimization
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In memory of Svatopluk Poljak
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Connections between semidefinite relaxations of the max-cut and stable set problems
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The real positive semidefinite completion problem for series-parallel graphs
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Spectral bounds for unconstrained (−1,1)-quadratic optimization problems
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New bounds for the max-k-cut and chromatic number of a graph
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Gap inequalities for non-convex mixed-integer quadratic programs
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Spectral methods for graph bisection problems
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Semidefinite Programming and Integer Programming
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Tighter Linear and Semidefinite Relaxations for Max-Cut Based on the Lovász--Schrijver Lift-and-Project Procedure
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