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gptkbp:instanceOf
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graph
theoretical computer science
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gptkbp:approximationAlgorithm
|
gptkb:Goemans–Williamson_algorithm
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gptkbp:approximationRatio
|
0.878
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gptkbp:category
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theoretical computer science
mathematical optimization
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gptkbp:complexity
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gptkb:NP-hard
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gptkbp:decision
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Is there a cut of size at least k?
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gptkbp:definedIn
|
graph
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gptkbp:field
|
combinatorial optimization
theoretical computer science
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gptkbp:firstDescribed
|
1970s
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gptkbp:goal
|
partition the vertices into two sets to maximize the number of edges between the sets
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gptkbp:hasExactAlgorithm
|
exponential time algorithm
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gptkbp:hasPolynomialTimeAlgorithm
|
no (unless P=NP)
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gptkbp:hasSpecialCase
|
gptkb:quadratic_unconstrained_binary_optimization_(QUBO)
Boolean satisfiability problem
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gptkbp:hasUnweightedVersion
|
yes
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gptkbp:hasWeightedVersion
|
yes
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https://www.w3.org/2000/01/rdf-schema#label
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MAX-CUT problem
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gptkbp:input
|
graph
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gptkbp:output
|
partition of vertices
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gptkbp:reduces
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gptkb:Ising_model
gptkb:3-SAT
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gptkbp:relatedTo
|
Boolean satisfiability problem
minimum cut problem
|
|
gptkbp:solvedBy
|
semidefinite programming
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gptkbp:usedIn
|
statistical physics
VLSI design
network design
circuit layout design
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gptkbp:bfsParent
|
gptkb:Goemans–Williamson_algorithm
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gptkbp:bfsLayer
|
7
|