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Volumn 35, Issue 4, 1988, Pages 921-940

A New Approach to the Maximum-Flow Problem

Author keywords

Dynamic trees; maximum flow problem

Indexed keywords

COMPUTER PROGRAMMING - ALGORITHMS; COMPUTER SYSTEMS, DIGITAL - PARALLEL PROCESSING; OPERATIONS RESEARCH;

EID: 0024090156     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/48014.61051     Document Type: Article
Times cited : (1504)

References (33)
  • 1
    • 84947906996 scopus 로고
    • Tech. Rep. 1905–87, Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Mass.
    • Ahuja, R. K. and Orlin, J. B. A fast and simple algorithm for the maximum flow problem. Tech. Rep. 1905–87, Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Mass., 1987.
    • (1987) A fast and simple algorithm for the maximum flow problem
    • Ahuja, R.K.1    Orlin, J.B.2
  • 3
    • 0022144867 scopus 로고
    • Complexity of network synchronization
    • Oct.
    • Awerbuch, B. Complexity of network synchronization. J. ACM 32, 4 (Oct. 1985), 804-823.
    • (1985) J. ACM , vol.32 , Issue.4 , pp. 804-823
    • Awerbuch, B.1
  • 5
    • 0002377016 scopus 로고
    • An algorithm for constructing maximal flows in networks with complexity of O(V2√E) operations
    • Cherkasky, R. V. An algorithm for constructing maximal flows in networks with complexity of O(V2√E) operations. Math. Methods Solution Econ. Probl. 7(1977), 112-125. (In Russian.)
    • (1977) Math. Methods Solution Econ. Probl. , vol.7 , pp. 112-125
    • Cherkasky, R.V.1
  • 6
    • 84976855762 scopus 로고
    • Algorithm for solution of a problem of maximum flow in networks with power estimation
    • Dinic, E. A. Algorithm for solution of a problem of maximum flow in networks with power estimation. Sov. Math. Dokl. 11 (1970), 1277-1280.
    • (1970) Sov. Math. Dokl. , vol.11 , pp. 1277-1280
    • Dinic, E.A.1
  • 7
    • 0015330635 scopus 로고
    • Theoretical improvements in algorithmic efficiency for network flow problems
    • Apr.
    • Edmonds, J., and Karp, R. M. Theoretical improvements in algorithmic efficiency for network flow problems. J. ACM 19, 2 (Apr. 1972), 248-264.
    • (1972) J. ACM , vol.19 , Issue.2 , pp. 248-264
    • Edmonds, J.1    Karp, R.M.2
  • 8
    • 0004201430 scopus 로고
    • Computer Science Press, Potomac, Md.
    • Even, S. Graph Algorithms. Computer Science Press, Potomac, Md., 1979.
    • (1979) Graph Algorithms
    • Even, S.1
  • 9
    • 85106812812 scopus 로고
    • Maximal flow through a network
    • Ford, L. R., Jr., and Fulkerson, D. R. Maximal flow through a network. Can. J. Math. 8 (1956), 399-404.
    • (1956) Can. J. Math. , vol.8 , pp. 399-404
    • Ford, L.R.1    Fulkerson, D.R.2
  • 10
    • 84957946170 scopus 로고
    • Princeton University Press, Princeton, N.J.
    • Ford, L. R., Jr., and Fulkerson, D. R. Flows in Networks. Princeton University Press, Princeton, N.J., 1962.
    • (1962) Flows in Networks
    • Ford, L.R.1    Fulkerson, D.R.2
  • 12
    • 0343096031 scopus 로고
    • Scaling algorithms for network problems
    • Gabow, H. N. Scaling algorithms for network problems. J. Comput. Syst. Sci. 31 (1985), 148-168.
    • (1985) J. Comput. Syst. Sci. , vol.31 , pp. 148-168
    • Gabow, H.N.1
  • 13
    • 0043276782 scopus 로고
    • An O(V5/3E2/3) algorithm for the maximal flow problem
    • Galil, Z. An O(V5/3E2/3) algorithm for the maximal flow problem. Acta Inf. 14 (1980), 221-242.
    • (1980) Acta Inf. , vol.14 , pp. 221-242
    • Galil, Z.1
  • 14
    • 84989696344 scopus 로고
    • An 0(EV log2V) algorithm for the maximal flow problem
    • Galil, Z., and Naamad, A. An 0(EV log2V) algorithm for the maximal flow problem. J. Comput. Syst. Sci. 21 (1980), 203-217.
    • (1980) J. Comput. Syst. Sci. , vol.21 , pp. 203-217
    • Galil, Z.1    Naamad, A.2
  • 15
    • 84976831429 scopus 로고
    • A distributed algorithm for minimum-weight spanning trees
    • Jan.
    • Gallager, R. G., Humblet, P. A., and Spira, P. M. A distributed algorithm for minimum-weight spanning trees. ACM Trans. Program. Lang. Syst. 5, 1 (Jan. 1983), 66-77.
    • (1983) ACM Trans. Program. Lang. Syst. , vol.5 , Issue.1 , pp. 66-77
    • Gallager, R.G.1    Humblet, P.A.2    Spira, P.M.3
  • 16
    • 0003800642 scopus 로고
    • Tech. Rep. MIT/LCS/TM-291, Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Mass.
    • Goldberg, A. V. A new max-flow algorithm. Tech. Rep. MIT/LCS/TM-291, Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Mass., 1985.
    • (1985) A new max-flow algorithm
    • Goldberg, A.V.1
  • 17
    • 0003481011 scopus 로고
    • PhD dissertation, Massachusetts Institute of Technology, Cambridge, Mass., Jan.
    • Goldberg, A. V. Efficient graph algorithms for sequential and parallel computers. PhD dissertation, Massachusetts Institute of Technology, Cambridge, Mass., Jan. 1987. Also available as Tech. Rep. TR-374, Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Mass., 1987.
    • (1987) Efficient graph algorithms for sequential and parallel computers
    • Goldberg, A.V.1
  • 20
    • 0001137959 scopus 로고
    • Determining the maximal flow in a network by the method of preflows
    • Karzanov, A. V. Determining the maximal flow in a network by the method of preflows. Sov. Math. Dokl. 15 (1974), 434-437.
    • (1974) Sov. Math. Dokl. , vol.15 , pp. 434-437
    • Karzanov, A.V.1
  • 24
    • 0000888388 scopus 로고
    • Integer optimization and zero-temperature fixed point in Ising random-field systems
    • Ogielski, A. T. Integer optimization and zero-temperature fixed point in Ising random-field systems. Phys. Rev. Lett. 57(1986), 1251-1254.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 1251-1254
    • Ogielski, A.T.1
  • 26
    • 0016565825 scopus 로고
    • Minimum cuts and related problems
    • Picard, J. C., and Ratliff, H. D. Minimum cuts and related problems. Networks 5 (1975), 357-370.
    • (1975) Networks , vol.5 , pp. 357-370
    • Picard, J.C.1    Ratliff, H.D.2
  • 27
    • 84976766446 scopus 로고
    • Tech. Rep. STAN-CS-78-802, Computer Science Dept., Stanford Univ., Stanford, Calif.
    • Shiloach, Y. An 0(nl log2I) maximum-flow algorithm. Tech. Rep. STAN-CS-78-802, Computer Science Dept., Stanford Univ., Stanford, Calif., 1978.
    • (1978) An 0(nl log2I) maximum-flow algorithm
    • Shiloach, Y.1
  • 28
    • 0346863310 scopus 로고
    • An O(n2log n) parallel max-flow algorithm
    • Shiloach, Y., and Vishkin, U. An O(n2log n) parallel max-flow algorithm. J. Algorithms 3 (1982), 128-146.
    • (1982) J. Algorithms , vol.3 , pp. 128-146
    • Shiloach, Y.1    Vishkin, U.2
  • 29
    • 84874577918 scopus 로고
    • Tech. Rep. STAN-CS-80-831, Computer Science Dept, Stanford Univ., Stanford, Calif.
    • Sleator, D. D. An O(nm log n) algorithm for maximum network flow. Tech. Rep. STAN-CS-80-831, Computer Science Dept, Stanford Univ., Stanford, Calif., 1980.
    • (1980) An O(nm log n) algorithm for maximum network flow
    • Sleator, D.D.1
  • 30
    • 0020766586 scopus 로고
    • A data structure for dynamic trees
    • Sleator, D. D., and Tarjan, R. E. A data structure for dynamic trees. J. Comput. Syst. Sci. 26 (1983), 362-391.
    • (1983) J. Comput. Syst. Sci. , vol.26 , pp. 362-391
    • Sleator, D.D.1    Tarjan, R.E.2
  • 31
    • 0022093855 scopus 로고
    • Self-adjusting binary search trees
    • July
    • Sleator, D. D., and Tarjan, R. E. Self-adjusting binary search trees. J. ACM 32, 3 (July 1985), 652-686.
    • (1985) J. ACM , vol.32 , Issue.3 , pp. 652-686
    • Sleator, D.D.1    Tarjan, R.E.2
  • 32
    • 0004190201 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia, Pa.
    • Tarjan, R. E. Data Structures and Network Algorithms. Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1983.
    • (1983) Data Structures and Network Algorithms
    • Tarjan, R.E.1
  • 33
    • 0021388879 scopus 로고
    • A simple version of Karzanov's blocking flow algorithm
    • Tarjan, R. E. A simple version of Karzanov's blocking flow algorithm. Oper. Res. Lett. 2 (1984), 265-268.
    • (1984) Oper. Res. Lett. , vol.2 , pp. 265-268
    • Tarjan, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.