메뉴 건너뛰기




Volumn , Issue , 2006, Pages 531-540

Algebraic structures and algorithms for matching and matroid problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC ALGORITHM; BIPARTITE MATCHING; MATROID INTERSECTION;

EID: 38049029245     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2006.8     Document Type: Conference Paper
Times cited : (27)

References (39)
  • 1
    • 0012755481 scopus 로고
    • New algorithms for linear k-matroid intersection and matroid k-parity problems
    • A. I. Barvinok. New algorithms for linear k-matroid intersection and matroid k-parity problems. Mathematical Programming, 69:449-470, 1995.
    • (1995) Mathematical Programming , vol.69 , pp. 449-470
    • Barvinok, A.I.1
  • 2
    • 0033348662 scopus 로고    scopus 로고
    • Approximating capacitated routing and delivery problems
    • P. Chalasani and R. Motwani. Approximating capacitated routing and delivery problems. SIAM Journal on Computing, 26(6):2133-2149, 1999.
    • (1999) SIAM Journal on Computing , vol.26 , Issue.6 , pp. 2133-2149
    • Chalasani, P.1    Motwani, R.2
  • 3
    • 0346084499 scopus 로고    scopus 로고
    • Randomized Õ(M|V|, algorithms for problems in matching theory
    • J. Cheriyan. Randomized Õ(M(|V|)) algorithms for problems in matching theory. SIAM Journal on Computing, 26(6): 1635-1669, 1997.
    • (1997) SIAM Journal on Computing , vol.26 , Issue.6 , pp. 1635-1669
    • Cheriyan, J.1
  • 4
  • 5
    • 0022808048 scopus 로고
    • Improved bounds for matroid partition and intersection algorithms
    • Nov
    • W. H. Cunningham. Improved bounds for matroid partition and intersection algorithms. SIAM Journal on Computing, 15(4):948-957, Nov. 1986.
    • (1986) SIAM Journal on Computing , vol.15 , Issue.4 , pp. 948-957
    • Cunningham, W.H.1
  • 6
    • 45149083845 scopus 로고    scopus 로고
    • Vertex-disjoint directed paths and even circuits
    • Manuscript
    • W. H. Cunningham and J. F. Geelen. Vertex-disjoint directed paths and even circuits. Manuscript.
    • Cunningham, W.H.1    Geelen, J.F.2
  • 8
    • 0031457797 scopus 로고    scopus 로고
    • The optimal path-matching problem
    • W. H. Cunningham and J. F. Geelen. The optimal path-matching problem. Combinatorica, 17(3):315-337, 1997.
    • (1997) Combinatorica , vol.17 , Issue.3 , pp. 315-337
    • Cunningham, W.H.1    Geelen, J.F.2
  • 11
    • 0002167079 scopus 로고    scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • R. Guy, H. Hanani, N. Sauer, and J. Schönheim, editors
    • J. Edmonds. Submodular functions, matroids, and certain polyhedra. In R. Guy, H. Hanani, N. Sauer, and J. Schönheim, editors, Combinatorial Structures and Their Applications, pages 69-87.
    • Combinatorial Structures and Their Applications , pp. 69-87
    • Edmonds, J.1
  • 12
    • 38749121537 scopus 로고    scopus 로고
    • Gordon and Breach, 1970. Republished in M. Jünger, G. Reinelt, G. Rinaldi, editors, Combinatorial Optimization - Eureka, You Shrink!, Lecture Notes in Computer Science 2570, pages 11-26. Springer-Verlag, 2003.
    • Gordon and Breach, 1970. Republished in M. Jünger, G. Reinelt, G. Rinaldi, editors, Combinatorial Optimization - Eureka, You Shrink!, Lecture Notes in Computer Science 2570, pages 11-26. Springer-Verlag, 2003.
  • 13
    • 0002758061 scopus 로고    scopus 로고
    • J. Edmonds. Matroid intersection. In P. L. Hammer, E. L. Johnson, and B. H. Korte, editors, Discrete Optimization I, 4 of Annals of Discrete Mathematics, pages 39-49. North-Holland, 1979.
    • J. Edmonds. Matroid intersection. In P. L. Hammer, E. L. Johnson, and B. H. Korte, editors, Discrete Optimization I, volume 4 of Annals of Discrete Mathematics, pages 39-49. North-Holland, 1979.
  • 15
    • 0030217630 scopus 로고    scopus 로고
    • Efficient theoretic and practical algorithms for linear matroid intersection problems
    • H. N. Gabow and Y. Xu. Efficient theoretic and practical algorithms for linear matroid intersection problems. Journal of Computer and System Sciences, 53(1): 129-147, 1996.
    • (1996) Journal of Computer and System Sciences , vol.53 , Issue.1 , pp. 129-147
    • Gabow, H.N.1    Xu, Y.2
  • 16
    • 0004131235 scopus 로고
    • Chelsea, New York, Translation by K.A. Kirsch
    • F. R. Gantmakher. The Theory of Matrices, volume 1. Chelsea, New York, 1960. Translation by K.A. Kirsch.
    • (1960) The Theory of Matrices , vol.1
    • Gantmakher, F.R.1
  • 18
    • 20744434781 scopus 로고    scopus 로고
    • Lecture notes from the Euler Institute for Discrete Mathematics and its Applications
    • J. F. Geelen. Matching theory. Lecture notes from the Euler Institute for Discrete Mathematics and its Applications, 2001.
    • (2001) Matching theory
    • Geelen, J.F.1
  • 22
    • 0009271221 scopus 로고
    • Applications of matroid theory
    • A. Bachem, M. Grötschel, and B. Korte, editors, State of the Art
    • M. Iri. Applications of matroid theory. In A. Bachem, M. Grötschel, and B. Korte, editors, Mathematical Programming: The State of the Art, pages 158-201. 1983.
    • (1983) Mathematical Programming: The , pp. 158-201
    • Iri, M.1
  • 23
    • 0016536930 scopus 로고
    • Matroid intersection algorithms
    • E. L. Lawler. Matroid intersection algorithms. Mathematical Programming, 9:31-56, 1975.
    • (1975) Mathematical Programming , vol.9 , pp. 31-56
    • Lawler, E.L.1
  • 24
    • 0003221566 scopus 로고
    • On determinants, matchings and random algorithms
    • L. Budach, editor, Akademie-Verlag, Berlin
    • L. Lovász. On determinants, matchings and random algorithms. In L. Budach, editor, Fundamentals of Computation Theory, FCT '79, pages 565-574. Akademie-Verlag, Berlin, 1979.
    • (1979) Fundamentals of Computation Theory, FCT '79 , pp. 565-574
    • Lovász, L.1
  • 25
  • 30
    • 0028409907 scopus 로고
    • Randomized parallel algorithms for matroid union and intersection, with applications to arboresences and edge-disjoint spanning trees
    • H. Narayanan, H. Saran, and V. V. Vazirani. Randomized parallel algorithms for matroid union and intersection, with applications to arboresences and edge-disjoint spanning trees. SIAM Journal on Computing, 23(2):387-397, 1994.
    • (1994) SIAM Journal on Computing , vol.23 , Issue.2 , pp. 387-397
    • Narayanan, H.1    Saran, H.2    Vazirani, V.V.3
  • 31
    • 38249024369 scopus 로고
    • Maximum matchings in general graphs through randomization
    • M. O. Rabin and V. V. Vazirani. Maximum matchings in general graphs through randomization. Journal of Algorithms, 10(4):557-567, 1989.
    • (1989) Journal of Algorithms , vol.10 , Issue.4 , pp. 557-567
    • Rabin, M.O.1    Vazirani, V.V.2
  • 35
    • 33745153137 scopus 로고    scopus 로고
    • A. Schrijver. On the history of combinatorial optimization (till 1960). In K. Aardal, G. L. Nemhauser, and R. Weismantel, editors, Discrete Optimization, 12 of Handbooks in Operations Research and Management Science, pages 1-68. North Holland, 2005.
    • A. Schrijver. On the history of combinatorial optimization (till 1960). In K. Aardal, G. L. Nemhauser, and R. Weismantel, editors, Discrete Optimization, volume 12 of Handbooks in Operations Research and Management Science, pages 1-68. North Holland, 2005.
  • 37
    • 0016122882 scopus 로고
    • An Algorithm for Determining the Rank of a Triple Matrix Product AXB with Application to the Problem of Discerning the Existence of the Unique Solution in a Network
    • Nov
    • N. Tomizawa and M. Iri. An Algorithm for Determining the Rank of a Triple Matrix Product AXB with Application to the Problem of Discerning the Existence of the Unique Solution in a Network. Electronics and Communications in Japan (Scripta Electronica Japonica II), 57(11):50-57, Nov. 1974.
    • (1974) Electronics and Communications in Japan (Scripta Electronica Japonica II) , vol.57 , Issue.11 , pp. 50-57
    • Tomizawa, N.1    Iri, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.