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Volumn 78, Issue 1, 1996, Pages 43-58

Fast deterministic approximation for the multicommodity flow problem

Author keywords

Approximate solution; Concurrent flow; Multicommodity flow; Network flow; Network optimization

Indexed keywords


EID: 0040510449     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02614505     Document Type: Article
Times cited : (20)

References (14)
  • 2
    • 0028123963 scopus 로고
    • Improved approximation algorithms for the multi-commodity flow problem and local competitive routing in dynamic networks
    • B. Awerbuch and T. Leighton, Improved approximation algorithms for the multi-commodity flow problem and local competitive routing in dynamic networks, in: Proceedings of 26th Annual ACM Symposium on Theory of Computing (1994) 487-496.
    • (1994) Proceedings of 26th Annual ACM Symposium on Theory of Computing , pp. 487-496
    • Awerbuch, B.1    Leighton, T.2
  • 3
    • 0039464010 scopus 로고
    • A natural randomization strategy for multicommodity flow and related algorithms
    • A.V. Goldberg, A natural randomization strategy for multicommodity flow and related algorithms, Information Processing Letters 42 (1992) 249-256.
    • (1992) Information Processing Letters , vol.42 , pp. 249-256
    • Goldberg, A.V.1
  • 4
    • 0040649368 scopus 로고
    • Fast approximation schemes for convex programs with many blocks and coupling constraints
    • Department of Computer Science, Rutgers University
    • M.D. Grigoriadis and L.G. Khachiyan, Fast approximation schemes for convex programs with many blocks and coupling constraints, Technical Report DCS-TR-273, Department of Computer Science, Rutgers University, 1991.
    • (1991) Technical Report DCS-TR-273
    • Grigoriadis, M.D.1    Khachiyan, L.G.2
  • 5
    • 33751009250 scopus 로고
    • Improved interior point algorithms for exact and approximate solution of multicommodity flow problems
    • A. Kamath and O. Palmon, Improved interior point algorithms for exact and approximate solution of multicommodity flow problems, in: Proceedings of 6th ACM-SIAM Symposium on Discrete Algorithms (1995) 502-511.
    • (1995) Proceedings of 6th ACM-SIAM Symposium on Discrete Algorithms , pp. 502-511
    • Kamath, A.1    Palmon, O.2
  • 7
    • 0028454922 scopus 로고
    • Faster approximation algorithms for the unit capacity concurrent flow problem with applications to routing and finding sparse cuts
    • P. Klein, S. Plotkin, C. Stein and É Tardos, Faster approximation algorithms for the unit capacity concurrent flow problem with applications to routing and finding sparse cuts, SIAM Journal on Computing 23 (1994) 466-487.
    • (1994) SIAM Journal on Computing , vol.23 , pp. 466-487
    • Klein, P.1    Plotkin, S.2    Stein, C.3    Tardos, É.4
  • 9
    • 0024135198 scopus 로고
    • An approximate max-flow min-cut theorem for uniform multicommodity flow problems with applications to approximation algorithms
    • T. Leighton and S. Rao, An approximate max-flow min-cut theorem for uniform multicommodity flow problems with applications to approximation algorithms, in: Proceedings of 29th Annual IEEE Symp. Foundations of Computer Science (1988) 422-431.
    • (1988) Proceedings of 29th Annual IEEE Symp. Foundations of Computer Science , pp. 422-431
    • Leighton, T.1    Rao, S.2
  • 10
    • 0039464009 scopus 로고
    • Implementation of a combinatorial multicommodity flow algorithm
    • American Mathematical Society, Providence, RI
    • T. Leong, P. Shor and C. Stein, Implementation of a combinatorial multicommodity flow algorithm, in: DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 12 (American Mathematical Society, Providence, RI, 1993) 387-405.
    • (1993) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.12 , pp. 387-405
    • Leong, T.1    Shor, P.2    Stein, C.3
  • 11
    • 0039464014 scopus 로고
    • Concurrent flow and concurrent connectivity in graphs
    • Y. Alavi, G. Chartrand, L. Lesniak, D. Lick and C.E. Wall, eds., Wiley, New York
    • D.W. Matula, Concurrent flow and concurrent connectivity in graphs, in: Y. Alavi, G. Chartrand, L. Lesniak, D. Lick and C.E. Wall, eds., Graph theory and its applications to algorithms and Computer Science (Wiley, New York, 1985) 543-559.
    • (1985) Graph Theory and Its Applications to Algorithms and Computer Science , pp. 543-559
    • Matula, D.W.1
  • 12
    • 38249016093 scopus 로고
    • Using separation algorithms in fixed dimension
    • C. Haibt Norton, S.A. Plotkin and É. Tardos, Using separation algorithms in fixed dimension, Journal of Algebra 13 (1992) 79-98.
    • (1992) Journal of Algebra , vol.13 , pp. 79-98
    • Norton, C.H.1    Plotkin, S.A.2    Tardos, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.