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Connections between semidefinite relaxations of the max-cut and stable set problems

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-97881-4openalex-snapshot
Geometric Algorithms and Combinatorial Optimization
inferredcites →https://doi.org/10.1007/bf01580600openalex-snapshot
On cuts and matchings in planar graphs
inferredcites →https://doi.org/10.1007/bf01581273openalex-snapshot
A lift-and-project cutting plane algorithm for mixed 0–1 programs
inferredcites →https://doi.org/10.1007/bf01585184openalex-snapshot
Laplacian eigenvalues and the maximum cut problem
inferredcites →https://doi.org/10.1007/bf01589101openalex-snapshot
The boolean quadric polytope: Some characteristics, facets and relatives
inferredcites →https://doi.org/10.1007/bf02592023openalex-snapshot
On the cut polytope
inferredcites →https://doi.org/10.1007/bf02612354openalex-snapshot
Roof duality, complementation and persistency in quadratic 0–1 optimization
inferredcites →https://doi.org/10.1016/0012-365x(90)90056-nopenalex-snapshot
The cut polytope and the Boolean quadric polytope
inferredcites →https://doi.org/10.1016/0024-3795(84)90207-6openalex-snapshot
Positive definite completions of partial Hermitian matrices
inferredcites →https://doi.org/10.1016/0024-3795(95)00271-ropenalex-snapshot
On a positive semidefinite relaxation of the cut polytope
inferredcites →https://doi.org/10.1016/0024-3795(95)00741-5openalex-snapshot
The real positive semidefinite completion problem for series-parallel graphs
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/10.1090/memo/0584openalex-snapshot
The real positive definite completion problem: cycle completability
inferredcites →https://doi.org/10.1109/istcs.1995.377033openalex-snapshot
Approximating the value of two power proof systems, with applications to MAX 2SAT and MAX DICUT
inferredcites →https://doi.org/10.1109/tit.1979.1056072openalex-snapshot
A comparison of the Delsarte and Lovász bounds
inferredcites →https://doi.org/10.1137/0617031openalex-snapshot
On the Facial Structure of the Set of Correlation Matrices
inferredcites →https://doi.org/10.1137/0801013openalex-snapshot
Cones of Matrices and Set-Functions and 0–1 Optimization
inferredcites →https://doi.org/10.1137/0805024openalex-snapshot
Nonpolyhedral Relaxations of Graph-Bisection Problems
inferredcites →https://doi.org/10.1137/0806020openalex-snapshot
An Interior-Point Method for Semidefinite Programming
inferredcites →https://doi.org/10.1137/s0895480195287541openalex-snapshot
The Lovász Theta Function and a Semidefinite Programming Relaxation of Vertex Cover
inferredcites →https://doi.org/10.1145/195058.195216openalex-snapshot
.879-approximation algorithms for MAX CUT and MAX 2SAT
inferredcites →https://doi.org/10.1287/opre.13.3.388openalex-snapshot
Some Network Flow Problems Solved with Pseudo-Boolean Programming
inferredcites →https://doi.org/10.21236/ada298925openalex-snapshot
Polyhedral Methods for the Maximum Clique Problem,

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-36478-1_9openalex-snapshot
The Bundle Method for Hard Combinatorial Optimization Problems
inferred← citeshttps://doi.org/10.1007/3-540-59408-6_46openalex-snapshot
Combining semidefinite and polyhedral relaxations for integer programs
inferred← citeshttps://doi.org/10.1007/3-540-63397-9_20openalex-snapshot
Fixing variables in semidefinite relaxations
inferred← citeshttps://doi.org/10.1007/3-540-63774-5_98openalex-snapshot
Solving and approximating combinatorial optimization problems (Towards MAX CUT and TSP)
inferred← citeshttps://doi.org/10.1007/978-1-4613-0279-7_25openalex-snapshot
Strengthened Semidefinite Programming Relaxations for the Max-Cut Problem
inferred← citeshttps://doi.org/10.1007/978-1-4613-0279-7_9openalex-snapshot
Lagrangian Quadratic Bounds in Polynomial Nonconvex and Boolean Models with Superfluous Constraints
inferred← citeshttps://doi.org/10.1007/978-1-4614-0769-0_22openalex-snapshot
Semidefinite Programming and Constraint Programming
inferred← citeshttps://doi.org/10.1007/978-3-540-68279-0_18openalex-snapshot
Semidefinite Relaxations for Integer Programming
inferred← citeshttps://doi.org/10.1007/978-3-642-32147-4_9openalex-snapshot
Semidefinite Relaxations for Mixed 0-1 Second-Order Cone Program
inferred← citeshttps://doi.org/10.1007/bf01580072openalex-snapshot
Solving quadratic (0,1)-problems by semidefinite programs and cutting planes
inferred← citeshttps://doi.org/10.1007/bf02614315openalex-snapshot
Semidefinite programming in combinatorial optimization
inferred← citeshttps://doi.org/10.1007/s10107-002-0353-7openalex-snapshot
A computational study of a gradient-based log-barrier algorithm for a class of large-scale SDPs
inferred← citeshttps://doi.org/10.1007/s10107-005-0604-5openalex-snapshot
Exploring the Relationship Between Max-Cut and Stable Set Relaxations
inferred← citeshttps://doi.org/10.1007/s10107-008-0219-8openalex-snapshot
An application of the Lovász–Schrijver M(K, K) operator to the stable set problem
inferred← citeshttps://doi.org/10.1007/s10107-009-0275-8openalex-snapshot
An unconstrained minimization method for solving low-rank SDP relaxations of the maxcut problem
inferred← citeshttps://doi.org/10.1007/s10107-025-02209-0openalex-snapshot
A primal-dual extension of the Goemans–Williamson algorithm for the weighted fractional cut-covering problem
inferred← citeshttps://doi.org/10.1007/s101070100279openalex-snapshot
Solving a class of semidefinite programs via nonlinear programming
inferred← citeshttps://doi.org/10.1007/s10878-004-4838-6openalex-snapshot
From Linear to Semidefinite Programming: An Algorithm to Obtain Semidefinite Relaxations for Bivalent Quadratic Problems
inferred← citeshttps://doi.org/10.1016/0024-3795(95)00741-5openalex-snapshot
The real positive semidefinite completion problem for series-parallel graphs
inferred← citeshttps://doi.org/10.1016/j.cor.2005.01.011openalex-snapshot
Exploiting semidefinite relaxations in constraint programming
inferred← citeshttps://doi.org/10.1016/j.jmva.2005.08.008openalex-snapshot
Asymptotic Bayesian structure learning using graph supports for Gaussian graphical models
inferred← citeshttps://doi.org/10.1016/j.orl.2007.10.006openalex-snapshot
The equivalence of semidefinite relaxations of polynomial 0–1 and ± 1 programs via scaling
inferred← citeshttps://doi.org/10.1016/s0166-218x(01)00266-9openalex-snapshot
Strengthened semidefinite relaxations via a second lifting for the Max-Cut problem
inferred← citeshttps://doi.org/10.1016/s0168-9274(98)00097-xopenalex-snapshot
Semidefinite programming and combinatorial optimization
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)12008-8openalex-snapshot
Semidefinite Programming and Integer Programming
inferred← citeshttps://doi.org/10.1023/a:1014004625997openalex-snapshot
Lagrangian bounds in multiextremal polynomial and discrete optimization problems
inferred← citeshttps://doi.org/10.1023/a:1027364420370openalex-snapshot
A Tight Semidefinite Relaxation of the MAX CUT Problem
inferred← citeshttps://doi.org/10.1051/ro:2003012openalex-snapshot
A Derivation of Lovász' Theta via Augmented Lagrange Duality
inferred← citeshttps://doi.org/10.1080/01621459.2015.1100621openalex-snapshot
Modeling Probability Forecasts via Information Diversity
inferred← citeshttps://doi.org/10.1090/fic/018/14openalex-snapshot
Cutting plane algorithms for semidefinite relaxations
inferred← citeshttps://doi.org/10.1137/1.9780898718805.ch15openalex-snapshot
15. A Cutting Plane Algorithm for Large Scale Semidefinite Relaxations
inferred← citeshttps://doi.org/10.1137/100784424openalex-snapshot
Deriving Finite Sphere Packings
inferred← citeshttps://doi.org/10.1137/130945818openalex-snapshot
Vertices of Spectrahedra arising from the Elliptope, the Theta Body, and Their Relatives
inferred← citeshttps://doi.org/10.1137/23m1580905openalex-snapshot
On Integrality in Semidefinite Programming for Discrete Optimization
inferred← citeshttps://doi.org/10.1137/s1052623400379371openalex-snapshot
Tighter Linear and Semidefinite Relaxations for Max-Cut Based on the Lovász--Schrijver Lift-and-Project Procedure
inferred← citeshttps://doi.org/10.1137/s1052623401394092openalex-snapshot
Computational Experience with Stable Set Relaxations
inferred← citeshttps://doi.org/10.1137/s105262340240851xopenalex-snapshot
Semidefinite Programming in the Space of Partial Positive Semidefinite Matrices
inferred← citeshttps://doi.org/10.1137/s1052623497328987openalex-snapshot
A Spectral Bundle Method for Semidefinite Programming
inferred← citeshttps://doi.org/10.1142/s0217595914500225openalex-snapshot
SOME EXPERIENCES WITH SOLVING SEMIDEFINITE PROGRAMMING RELAXATIONS OF BINARY QUADRATIC OPTIMIZATION MODELS IN COMPUTATIONAL BIOLOGY
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