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Closure problem

In graph theory and combinatorial optimization, a closure of a directed graph is a set of vertices C, such that no edges leave C. The closure problem is the task of finding the maximum-weight or minimum-weight closure in a vertex-weighted directed graph. It may be solved in polynomial time using a reduction to the maximum flow problem. It may be used to…

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Closure problem

Nodes22
Edges21
Triples26
Avg. degree1.91
Density0.090909
Components1

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Closure problem

Top relations

related to Job scheduling · 10
Closure problem → Although, As, Each, In, Lawler, Nevertheless, NP-complete, Sidney, The, These
related to Transportation network design · 5
Closure problem → Each, Michel Balinski, Rhys, The, Together
related to Condensation · 3
Closure problem → For, If, The
related to Military targeting · 3
Closure problem → Each, In, The
related to Alternative algorithms · 2
Closure problem → Alternative, Their
is a · 1
Closure problem → task of finding the maximum-weight or minimum-weight closure in a vertex-weighted directed graph

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Important terminology

closure problem graph may maximum vertices time one two weight edges tasks directed flow mining must set network open pit

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Closure problemis atask of finding the maximum-weight or minimum-weight closure in a vertex-weighted directed graph0.90text
command centers are frequently protected by layers of defense systemsinstance ofhigh-value targets0.80text
which may in turn be protected by other systemsinstance ofhigh-value targets0.80text
Closure problemrelated to Alternative algorithmsAlternative0.60section
Closure problemrelated to Alternative algorithmsTheir0.60section
Closure problemrelated to CondensationThe0.60section
Closure problemrelated to CondensationIf0.60section
Closure problemrelated to CondensationFor0.60section
Closure problemrelated to Job schedulingSidney0.60section
Closure problemrelated to Job schedulingLawler0.60section
Closure problemrelated to Job schedulingEach0.60section
Closure problemrelated to Job schedulingIn0.60section

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