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Volumn 237, Issue 1-3, 2001, Pages 29-61

Matching 2-lattice polyhedra: Finding a maximum vector

Author keywords

Lattice polyhedra; Matching; Matroids; Polymatriods; Submodularity

Indexed keywords


EID: 0035963548     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(00)00219-3     Document Type: Article
Times cited : (11)

References (16)
  • 1
    • 0019647629 scopus 로고
    • The perfectly matchable subgraph polytope of a bipartite graph
    • E. Balas, W. R. Pulleyblank, The perfectly matchable subgraph polytope of a bipartite graph, Networks 13 (1983) 495-516.
    • (1983) Networks , vol.13 , pp. 495-516
    • Balas, E.1    Pulleyblank, W.R.2
  • 2
    • 0345846226 scopus 로고    scopus 로고
    • 2-Lattice polyhedra: Duality and extreme points
    • ISyE, Georgia Institute of Technology, Atlanta, GA 30332
    • S. Chang, D. Llewellyn, J. Vande Vate, 2-Lattice polyhedra: duality and extreme points, ISyE Technical Report No. J-94-03, ISyE, Georgia Institute of Technology, Atlanta, GA 30332.
    • ISyE Technical Report No. J-94-03
    • Chang, S.1    Llewellyn, D.2    Vande Vate, J.3
  • 3
    • 0002167079 scopus 로고
    • Submodular functions, matroids and certain polyhedra
    • R. Guy, et al. (Eds.), Combinatorial Structures and their Applications, Gordon and Breach, New York
    • J. Edmonds, Submodular functions, matroids and certain polyhedra, in: R. Guy, et al. (Eds.), Combinatorial Structures and their Applications, Proceedings of the Calgary International Conference, Gordon and Breach, New York, 1970, pp. 67-87.
    • (1970) Proceedings of the Calgary International Conference , pp. 67-87
    • Edmonds, J.1
  • 4
    • 51249177027 scopus 로고
    • An augmenting paths algorithm for linear matroid parity
    • H.N. Gabow, M. Stallmann, An augmenting paths algorithm for linear matroid parity, Combinatorica 6 (2) (1986) 123-150.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 123-150
    • Gabow, H.N.1    Stallmann, M.2
  • 5
    • 0001820849 scopus 로고
    • On lattice polyhedra II: Generalization, construction and examples
    • E. Mendelsohn (Ed.), Algebraic and Geometric Combinatorics, North-Holland, Amsterdam
    • H. Gröflin, A. Hoffman, On lattice polyhedra II: Generalization, construction and examples, in: E. Mendelsohn (Ed.), Algebraic and Geometric Combinatorics, Annals of Discrete Mathematics, vol. 15, North-Holland, Amsterdam, 1982, pp. 189-204.
    • (1982) Annals of Discrete Mathematics , vol.15 , pp. 189-204
    • Gröflin, H.1    Hoffman, A.2
  • 6
    • 0000485108 scopus 로고
    • On lattice polyhedra III: Blockers and anti-blockers of lattice clutters
    • A. Hoffman, On lattice polyhedra III: blockers and anti-blockers of lattice clutters, Math. Programming Study 8 (1978) 197-207.
    • (1978) Math. Programming Study , vol.8 , pp. 197-207
    • Hoffman, A.1
  • 7
    • 0346865625 scopus 로고
    • Systems of distinct representatives and linear programming
    • A. Hoffman, H.W. Kuhn, Systems of distinct representatives and linear programming, Amer. Math. Monthly 63 (1956).
    • (1956) Amer. Math. Monthly , vol.63
    • Hoffman, A.1    Kuhn, H.W.2
  • 9
    • 0010116178 scopus 로고
    • Complexity of matroid property algorithms
    • P. Jensen, B. Korte, Complexity of matroid property algorithms, SIAM J. Comput. 11 (1982) 184-190.
    • (1982) SIAM J. Comput. , vol.11 , pp. 184-190
    • Jensen, P.1    Korte, B.2
  • 12
    • 0002719797 scopus 로고
    • The Hungarian method for the assignment problem
    • H.W. Kuhn, The Hungarian method for the assignment problem, Naval Res. Logistics Quart. 2 (1955) 83-97.
    • (1955) Naval Res. Logistics Quart. , vol.2 , pp. 83-97
    • Kuhn, H.W.1
  • 14
    • 0345926602 scopus 로고
    • The matroid matching problem
    • L. Lovasz, V.T. Sos (Eds.), Colloquia Mathematica Societatis János Bolyai, Szeged, Hungary
    • L. Lovasz, The matroid matching problem, in: L. Lovasz, V.T. Sos (Eds.), Algebraic Methods in Graph Theory, Colloquia Mathematica Societatis János Bolyai, Szeged, Hungary, 1978.
    • (1978) Algebraic Methods in Graph Theory
    • Lovasz, L.1
  • 15
    • 0010116179 scopus 로고
    • Solving the linear matroid parity problem as a sequence of matroid intersection problems
    • J.B. Orlin, J.H. Vande Vate, Solving the linear matroid parity problem as a sequence of matroid intersection problems, Math. Programming 47 (1990) 81-106.
    • (1990) Math. Programming , vol.47 , pp. 81-106
    • Orlin, J.B.1    Vande Vate, J.H.2
  • 16
    • 0347107309 scopus 로고
    • Fractional matroid matchings
    • J.H. Vande Vate, Fractional matroid matchings, J. Combin. Theory 55 B (1992) 133-145.
    • (1992) J. Combin. Theory , vol.55 B , pp. 133-145
    • Vande Vate, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.