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Volumn , Issue , 2004, Pages 238-247

O(√log n) approximation to SPARSEST CUT in Õ(n 2) time

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHM; MULTICOMMODITY FLOWS; PSEUDO-EXPANDER FLOW; SEMI-DEFINITE PROGRAMS;

EID: 17744380466     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (41)

References (27)
  • 1
    • 0003169116 scopus 로고
    • Interior point methods in semidefinite programming with applications to combinatorial optimization
    • F. Alizadeh. Interior point methods in semidefinite programming with applications to combinatorial optimization. SIAM J. Optimization, 5:13-51, 1995.
    • (1995) SIAM J. Optimization , vol.5 , pp. 13-51
    • Alizadeh, F.1
  • 2
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • N. Alon. Eigenvalues and expanders. Combinatorica, 6:83-96, 1986.
    • (1986) Combinatorica , vol.6 , pp. 83-96
    • Alon, N.1
  • 3
    • 33750994100 scopus 로고
    • 1, isoperimetric inequalities for graphs and superconcentrators
    • 1, isoperimetric inequalities for graphs and superconcentrators. J. Combin. Theory B, 38:73-88, 1985.
    • (1985) J. Combin. Theory B , vol.38 , pp. 73-88
    • Alon, N.1    Milman, V.2
  • 4
    • 4544250512 scopus 로고    scopus 로고
    • Expander flows, geometric embeddings, and graph partitioning
    • S. Arora, S. Rao and U. Vazirani. Expander flows, geometric embeddings, and graph partitioning. ACM STOC 2004, pp 222-231.
    • ACM STOC 2004 , pp. 222-231
    • Arora, S.1    Rao, S.2    Vazirani, U.3
  • 5
    • 0000927271 scopus 로고    scopus 로고
    • An O(log k) approximate min-cut max-flow theorem and approximation algorithms
    • Y. Aumann and Y. Rabani. An O(log k) approximate min-cut max-flow theorem and approximation algorithms. SIAM J. Comp., 27(1):291-301, 1998.
    • (1998) SIAM J. Comp. , vol.27 , Issue.1 , pp. 291-301
    • Aumann, Y.1    Rabani, Y.2
  • 7
    • 0019697885 scopus 로고
    • The complexity of testing whether a graph is a superconcentrator
    • M. Blum, R. Karp, O. Vornberger, C. Papadimitriou, M. Yannakakis. The complexity of testing whether a graph is a superconcentrator. IPL, 13:164-167, 1981.
    • (1981) IPL , vol.13 , pp. 164-167
    • Blum, M.1    Karp, R.2    Vornberger, O.3    Papadimitriou, C.4    Yannakakis, M.5
  • 9
    • 20344362744 scopus 로고
    • A lower bound for the smallest eigenvalue of the Laplacian
    • Princeton Univ. Press
    • J. Cheeger. A lower bound for the smallest eigenvalue of the Laplacian. Problems in Analysis, 195-199, Princeton Univ. Press, 1970.
    • (1970) Problems in Analysis , pp. 195-199
    • Cheeger, J.1
  • 11
    • 0000114717 scopus 로고    scopus 로고
    • Approximating fractional multicommodity flows independent of the number of commodities
    • L. Fleischer. Approximating Fractional Multicommodity Flows Independent of the Number of Commodities. SIAM J. Discrete Math., 13(4):505-520, 2000.
    • (2000) SIAM J. Discrete Math. , vol.13 , Issue.4 , pp. 505-520
    • Fleischer, L.1
  • 12
    • 0002267135 scopus 로고    scopus 로고
    • Adaptive game playing using multiplicative weights
    • Y. Freund and R. Schapire. Adaptive game playing using multiplicative weights. Games and Economic Behavior, 29:79-103, 1999.
    • (1999) Games and Economic Behavior , vol.29 , pp. 79-103
    • Freund, Y.1    Schapire, R.2
  • 13
    • 0032317818 scopus 로고    scopus 로고
    • Faster and simpler algorithms for multicommodity flow and other fractional packing problems
    • N. Garg and J. Köneman. Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems. In Proc. 39th IEEE FOCS, 300-309, 1998.
    • (1998) Proc. 39th IEEE FOCS , pp. 300-309
    • Garg, N.1    Köneman, J.2
  • 14
    • 0024090156 scopus 로고
    • A new approach to the maximum flow problem
    • A. Goldberg and R. Tarjan. A new approach to the maximum flow problem. Journal of the ACM, 35:921-940, 1988.
    • (1988) Journal of the ACM , vol.35 , pp. 921-940
    • Goldberg, A.1    Tarjan, R.2
  • 15
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M.X. Goemans and D.P. Williamson. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the ACM, 42(6): 1115-1145, 1995.
    • (1995) Journal of the ACM , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 16
    • 0028454922 scopus 로고
    • Faster approximation algorithms for the unit capacity concurrent flow problem with applications to routing and finding sparse cuts
    • P. Klein and S. Plotkin and C. Stein and É. Tardos. Faster Approximation Algorithms for the Unit Capacity Concurrent Flow Problem With Applications to Routing and Finding Sparse Cuts. SIAM J. Comp., 23(3):466-487, 1994.
    • (1994) SIAM J. Comp. , vol.23 , Issue.3 , pp. 466-487
    • Klein, P.1    Plotkin, S.2    Stein, C.3    Tardos, É.4
  • 17
    • 0029711246 scopus 로고    scopus 로고
    • Efficient approximation algorithms semidefinite programs arising from max-cut and coloring
    • P. Klein and H-I. Lu. Efficient approximation algorithms semidefinite programs arising from max-cut and coloring. In Proc. 28th STOC, 338-347, 1996.
    • (1996) Proc. 28th STOC , pp. 338-347
    • Klein, P.1    Lu, H.-I.2
  • 18
    • 0043178250 scopus 로고
    • Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start
    • J. Kuczynski and H. Wozniakowski. Estimating the largest eigenvalue by the power and Lanczos algorithms with a random start. SIAM J. Matrix Anal. Appl., 13(4): 1094-1122, 1992.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , Issue.4 , pp. 1094-1122
    • Kuczynski, J.1    Wozniakowski, H.2
  • 19
    • 0000651166 scopus 로고    scopus 로고
    • Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
    • T. Leighton and S. Rao. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. Journal of the ACM, 46(6):787-832, 1999. Prelim. version in ACM STOC 1988.
    • (1999) Journal of the ACM , vol.46 , Issue.6 , pp. 787-832
    • Leighton, T.1    Rao, S.2
  • 20
    • 0000651166 scopus 로고    scopus 로고
    • T. Leighton and S. Rao. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. Journal of the ACM, 46(6):787-832, 1999. Prelim. version in ACM STOC 1988.
    • Prelim. Version in ACM STOC 1988
  • 21
    • 0000652415 scopus 로고
    • The geometry of graphs and some of its algorithmic applications
    • N. Linial, E. London, and Y. Rabinovich. The geometry of graphs and some of its algorithmic applications. Combinatorica, 15:215-246, 1995.
    • (1995) Combinatorica , vol.15 , pp. 215-246
    • Linial, N.1    London, E.2    Rabinovich, Y.3
  • 22
    • 0000126694 scopus 로고
    • Fast approximation algorithms for fractional packing and covering problems
    • S. Plotkin and D. B. Shmoys and E. Tardos. Fast approximation algorithms for fractional packing and covering problems. Math. Operations Res., 20:257-301, 1995. Prelim. version IEEE FOCS 1991, 495-504.
    • (1995) Math. Operations Res. , vol.20 , pp. 257-301
    • Plotkin, S.1    Shmoys, D.B.2    Tardos, E.3
  • 23
    • 17744395973 scopus 로고    scopus 로고
    • S. Plotkin and D. B. Shmoys and E. Tardos. Fast approximation algorithms for fractional packing and covering problems. Math. Operations Res., 20:257-301, 1995. Prelim. version IEEE FOCS 1991, 495-504.
    • Prelim. Version IEEE FOCS 1991 , pp. 495-504
  • 24
    • 0025415365 scopus 로고
    • The maximum concurrent flow problem
    • F. Shahrokhi and D.W. Matula. The maximum concurrent flow problem. Journal of the ACM, 37(2):318-334, 1990.
    • (1990) Journal of the ACM , vol.37 , Issue.2 , pp. 318-334
    • Shahrokhi, F.1    Matula, D.W.2
  • 25
    • 0002265812 scopus 로고
    • Cut problems and their application to divide and conquer
    • D.S. Hochbaum (ed.), PWS Publishing
    • D. S. Shmoys. Cut problems and their application to divide and conquer. Approximation Algorithms for NP-hard problems, D.S. Hochbaum (ed.), PWS Publishing, 1995.
    • (1995) Approximation Algorithms for NP-hard Problems
    • Shmoys, D.S.1
  • 26
    • 85012983438 scopus 로고
    • Randomized rounding without solving the linear program
    • N. Young. Randomized Rounding without Solving the Linear Program. In Proc. 6th SODA, 170-178, 1995.
    • (1995) Proc. 6th SODA , pp. 170-178
    • Young, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.