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Volumn 53, Issue 1, 1996, Pages 129-147

Efficient theoretic and practical algorithms for linear matroid intersection problems

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; INTEGER PROGRAMMING; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0030217630     PISSN: 00220000     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcss.1996.0054     Document Type: Article
Times cited : (32)

References (24)
  • 3
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    • Cunningham, W.H.1
  • 6
    • 0001214264 scopus 로고
    • Minimum partition of a matroid into independent subsets
    • J. EDMONDS, Minimum partition of a matroid into independent subsets, J. Res. Nat. Bur. Stand. B 69 (1965), 67-72.
    • (1965) J. Res. Nat. Bur. Stand. B , vol.69 , pp. 67-72
    • Edmonds, J.1
  • 7
    • 0000484665 scopus 로고
    • A weighted matroid intersection algorithm
    • A. FRANK, A weighted matroid intersection algorithm, J. Algorithms 2 (1981), 328-336.
    • (1981) J. Algorithms , vol.2 , pp. 328-336
    • Frank, A.1
  • 8
    • 0023384210 scopus 로고
    • Fibonacci heaps and their uses in improved network optimization algorithms
    • M. L. FREDMAN AND R. E. TARJAN, Fibonacci heaps and their uses in improved network optimization algorithms, J. Assoc. Comput. Mach. 34, No. 3 (1987), 596-615.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , Issue.3 , pp. 596-615
    • Fredman, M.L.1    Tarjan, R.E.2
  • 9
    • 0343096031 scopus 로고
    • Scaling algorithms for network problems
    • H. N. GABOW, Scaling algorithms for network problems, J. Comput. System Sci. 31, No. 2 (1985), 148-168.
    • (1985) J. Comput. System Sci. , vol.31 , Issue.2 , pp. 148-168
    • Gabow, H.N.1
  • 10
    • 85034593490 scopus 로고
    • Efficient algorithms for graphic matroid intersection and parity
    • "Automata, Languages and Programming: 12th Colloquium," W. Brauer, Ed., Springer-Verlag, New York/Berlin
    • H. N. GABOW AND M. STALLMANN, Efficient algorithms for graphic matroid intersection and parity, in "Automata, Languages and Programming: 12th Colloquium," Lecture Notes in Computer Science, Vol. 194 (W. Brauer, Ed.), pp. 210-220, Springer-Verlag, New York/Berlin, 1985.
    • (1985) Lecture Notes in Computer Science , vol.194 , pp. 210-220
    • Gabow, H.N.1    Stallmann, M.2
  • 11
    • 51249177027 scopus 로고
    • An augmenting path algorithm for the parity problem on linear matroids
    • H. N. GABOW AND M. STALLMANN, An augmenting path algorithm for the parity problem on linear matroids, Combinatorica 6, No. 2 (1986), 123-150.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 123-150
    • Gabow, H.N.1    Stallmann, M.2
  • 13
    • 84976684744 scopus 로고    scopus 로고
    • Faster scaling algorithms for network problems
    • to appear
    • H. N. GABOW AND R. E. TARJAN, Faster scaling algorithms for network problems, SIAM J. Comput., to appear.
    • SIAM J. Comput.
    • Gabow, H.N.1    Tarjan, R.E.2
  • 16
    • 0009271221 scopus 로고
    • Applications of matroid theory
    • A. Bachem, M. Grötschel, and B. Korte, Eds., Springer-Verlag, New York
    • M. IRI, Applications of matroid theory, in "Mathematical Programming - The State of the Art" (A. Bachem, M. Grötschel, and B. Korte, Eds.), pp. 158-201, Springer-Verlag, New York, 1983.
    • (1983) Mathematical Programming - The State of the Art , pp. 158-201
    • Iri, M.1
  • 17
    • 85029986419 scopus 로고
    • Matroid paritioning
    • Comput. Sci. Dept., Stanford Univ., Stanford, CA
    • D. E. KNUTH, "Matroid Paritioning," Tech. Rept. STAN-CS-73-342, Comput. Sci. Dept., Stanford Univ., Stanford, CA, 1973.
    • (1973) Tech. Rept. STAN-CS-73-342
    • Knuth, D.E.1
  • 19
    • 0009118224 scopus 로고
    • Systems analysis by graphs and matroids: Structural solvability and controllability
    • Springer-Verlag, New York
    • K. MUROTA, "Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability," Algorithmics and Combinatorics, Vol. 3, Springer-Verlag, New York, 1987.
    • (1987) Algorithmics and Combinatorics , vol.3
    • Murota, K.1
  • 20
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    • Refined study on structural controllability of descriptor systems by means of matroids
    • K. MUROTA, Refined study on structural controllability of descriptor systems by means of matroids, SIAM J. Control Optim. 25, No. 4 (1987), 967-989.
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    • Murota, K.1
  • 21
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    • Combinatorial canonical form of layered mixed matrices and its applications to block-triangularization of systems of linear/nonlinear equations
    • K. MUROTA, M. IRI, AND M. NAKAMURA, Combinatorial canonical form of layered mixed matrices and its applications to block-triangularization of systems of linear/nonlinear equations, SIAM J. Alg. Discrete Methods 8, No. 1 (1987), 123-149.
    • (1987) SIAM J. Alg. Discrete Methods , vol.8 , Issue.1 , pp. 123-149
    • Murota, K.1    Iri, M.2    Nakamura, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.