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Matroid intersection

In combinatorial optimization, the matroid intersection problem is to find a largest common independent set in two matroids over the same ground set. If the elements of the matroid are assigned real weights, the weighted matroid intersection problem is to find a common independent set with the maximum possible weight. These problems generalize many…

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Map overview Semantic statistics

Matroid intersection

Nodes32
Edges31
Triples69
Avg. degree1.94
Density0.0625
Components1

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Matroid intersection

Top relations

related to Algorithms · 25
Matroid intersection → Brezovec, Bérczi, Cornuejos, Cunningham's, Edmonds, Frank's, Ghosh, Glover, Gurjar, Huang, Iri, Kakimura, Kamiyama, Király, Lawler's, Orlin, Raj, The, There, They
related to Further reading · 23
Matroid intersection → Aigner, Algorithms, American Mathematical Society, Computing, Dowling, Efficient, Frederickson, Gabow, Greg, Harold, Journal, Mandayam, Martin, Matching, PDF, Robert, S0002-9947-1971-0286689-5, September, SIAM Journal, Srinivas
related to Three matroids · 7
Matroid intersection → Given, Hamiltonian, It, NP-hard, One, The, Then
related to Valuated matroids · 7
Matroid intersection → BX, BY, Given, Murota, MX, MY, The
related to Matroid parity · 4
Matroid intersection → Another, However, Lawler, NP-hard
related to Maximizing weight subject to cardinality · 3
Matroid intersection → In, Pk, This

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Important terminology

matroid intersection two matroids problem set independent displaystyle algorithm common maximum algorithms weighted weight matching graph time find one log

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Matroid intersectionrelated to AlgorithmsThere0.60section
Matroid intersectionrelated to AlgorithmsThe0.60section
Matroid intersectionrelated to AlgorithmsEdmonds0.60section
Matroid intersectionrelated to AlgorithmsLawler's0.60section
Matroid intersectionrelated to AlgorithmsIri0.60section
Matroid intersectionrelated to AlgorithmsTomizawa's0.60section
Matroid intersectionrelated to AlgorithmsFrank's0.60section
Matroid intersectionrelated to AlgorithmsOrlin0.60section
Matroid intersectionrelated to AlgorithmsVande-Vate's0.60section
Matroid intersectionrelated to AlgorithmsCunningham's0.60section
Matroid intersectionrelated to AlgorithmsBrezovec0.60section
Matroid intersectionrelated to AlgorithmsCornuejos0.60section

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