메뉴 건너뛰기




Volumn 4, Issue 2, 2008, Pages

Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut

Author keywords

Approximation algorithm; Embedding; Metrics; Negative type metric; Sparsest cut

Indexed keywords

EMBEDDINGS; EUCLIDEAN METRIC; METRICS (CO);

EID: 44849139807     PISSN: 15496325     EISSN: 15496333     Source Type: Journal    
DOI: 10.1145/1361192.1361199     Document Type: Article
Times cited : (28)

References (35)
  • 3
    • 0000927271 scopus 로고    scopus 로고
    • An O(log k) approximate min-cut max-flow theorem and approximation algorithm
    • AUMANN, Y. AND RABANI, Y. 1998. An O(log k) approximate min-cut max-flow theorem and approximation algorithm. SIAM J. Comput. 27, 1, 291-301.
    • (1998) SIAM J. Comput , vol.27 , Issue.1 , pp. 291-301
    • AUMANN, Y.1    RABANI, Y.2
  • 5
    • 51249178997 scopus 로고
    • On Lipschitz embeddings of finite metric spaces in Hilbert space
    • BOURGAIN, J. 1985. On Lipschitz embeddings of finite metric spaces in Hilbert space. Israel J. Math. 52, 1-2, 46-52.
    • (1985) Israel J. Math , vol.52 , Issue.1-2 , pp. 46-52
    • BOURGAIN, J.1
  • 6
    • 18444387163 scopus 로고    scopus 로고
    • Approximation algorithms for the 0-extension problem
    • CǍLINESCU, G., KARLOFF, H. J., AND RABANI, Y. 2004. Approximation algorithms for the 0-extension problem. SIAM J. Comput. 34, 2, 358-372.
    • (2004) SIAM J. Comput , vol.34 , Issue.2 , pp. 358-372
    • CǍLINESCU, G.1    KARLOFF, H.J.2    RABANI, Y.3
  • 9
    • 0029274566 scopus 로고
    • Las Vegas algorithms for linear and integer programming when the dimension is small
    • CLARKSON, K. L. 1995. Las Vegas algorithms for linear and integer programming when the dimension is small. J. ACM 42, 2, 488-499.
    • (1995) J. ACM , vol.42 , Issue.2 , pp. 488-499
    • CLARKSON, K.L.1
  • 10
    • 44849129687 scopus 로고    scopus 로고
    • DEZA, M. M. AND LAURENT, M. 1997. Geometry of Cuts and Metrics. Algorithms and Combinatorics, 15. Springer-Verlag, Berlin, Germany.
    • DEZA, M. M. AND LAURENT, M. 1997. Geometry of Cuts and Metrics. Algorithms and Combinatorics, vol. 15. Springer-Verlag, Berlin, Germany.
  • 12
    • 4544291996 scopus 로고    scopus 로고
    • A tight bound on approximating arbitrary metrics by tree metrics
    • FAKCHAROENPHOL, J., RAO, S., AND TALWAR, K. 2004. A tight bound on approximating arbitrary metrics by tree metrics. J. Comput. Syst. Sci. 69, 3, 485-497.
    • (2004) J. Comput. Syst. Sci , vol.69 , Issue.3 , pp. 485-497
    • FAKCHAROENPHOL, J.1    RAO, S.2    TALWAR, K.3
  • 13
    • 0000457427 scopus 로고    scopus 로고
    • Semidefinite programming and combinatorial optimization
    • GOEMANS, M. X. 1997. Semidefinite programming and combinatorial optimization. Math. Program. 49, 143-161.
    • (1997) Math. Program , vol.49 , pp. 143-161
    • GOEMANS, M.X.1
  • 17
    • 0022076947 scopus 로고
    • Metrics and undirected cuts
    • KARZANOV, A. V. 1985. Metrics and undirected cuts. Math. Program. 32, 2, 183-198.
    • (1985) Math. Program , vol.32 , Issue.2 , pp. 183-198
    • KARZANOV, A.V.1
  • 20
    • 26844509176 scopus 로고    scopus 로고
    • Measured descent: A new embedding method for finite metrics
    • KRAUTHGAMER, R., LEE, J., MENDEL, M., AND NAOR, A. 2005. Measured descent: A new embedding method for finite metrics. Geom. Funct. Anal. 15, 4, 839-858.
    • (2005) Geom. Funct. Anal , vol.15 , Issue.4 , pp. 839-858
    • KRAUTHGAMER, R.1    LEE, J.2    MENDEL, M.3    NAOR, A.4
  • 22
    • 20744434108 scopus 로고    scopus 로고
    • On distance scales, embeddings, and efficient relaxations of the cut cone
    • ACM Press, New York, NY
    • LEE, J. R. 2005. On distance scales, embeddings, and efficient relaxations of the cut cone. In Proceedings of the 16th ACM-SIAM Symposium on Discrete Algorithms (SODA). ACM Press, New York, NY, 92-101.
    • (2005) Proceedings of the 16th ACM-SIAM Symposium on Discrete Algorithms (SODA) , pp. 92-101
    • LEE, J.R.1
  • 23
    • 15544369683 scopus 로고    scopus 로고
    • Extending lipschitz functions via random metric partitions
    • LEE, J. R. AND NAOR, A. 2005. Extending lipschitz functions via random metric partitions. Inventiones Mathematicae 160, 1, 59-95.
    • (2005) Inventiones Mathematicae , vol.160 , Issue.1 , pp. 59-95
    • LEE, J.R.1    NAOR, A.2
  • 24
    • 0000651166 scopus 로고    scopus 로고
    • Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
    • LEIGHTON, F. T. AND RAO, S. B. 1999. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. J. ACM 46, 6, 787-832.
    • (1999) J. ACM , vol.46 , Issue.6 , pp. 787-832
    • LEIGHTON, F.T.1    RAO, S.B.2
  • 25
    • 0344077919 scopus 로고    scopus 로고
    • Finite metric-spaces - combinatorics, geometry and algorithms
    • Higher Education Press, Beijing, China
    • LINIAL, N. 2002. Finite metric-spaces - combinatorics, geometry and algorithms. In Proceedings of the International Congress of Mathematicians Vol. III. Higher Education Press, Beijing, China, 573-586.
    • (2002) Proceedings of the International Congress of Mathematicians , vol.3 , pp. 573-586
    • LINIAL, N.1
  • 26
    • 0000652415 scopus 로고
    • The geometry of graphs and some of its algorithmic applications
    • LINIAL, N, LONDON, E., AND RABINOVICH, Y 1995. The geometry of graphs and some of its algorithmic applications. Combinatorica 15, 2, 215-245.
    • (1995) Combinatorica , vol.15 , Issue.2 , pp. 215-245
    • LINIAL, N.1    LONDON, E.2    RABINOVICH, Y.3
  • 27
    • 35148838877 scopus 로고
    • The weighted majority algorithm
    • LITTLESTONE, N. AND WARMUTH, M. K. 1994. The weighted majority algorithm. Inform. Comput. 108, 2, 212-261.
    • (1994) Inform. Comput , vol.108 , Issue.2 , pp. 212-261
    • LITTLESTONE, N.1    WARMUTH, M.K.2
  • 28
    • 0001570001 scopus 로고    scopus 로고
    • On embedding trees into uniformly convex Banach spaces
    • MATOUŠEK, J. 1999. On embedding trees into uniformly convex Banach spaces. Israel J. Math. 114, 221-237.
    • (1999) Israel J. Math , vol.114 , pp. 221-237
    • MATOUŠEK, J.1
  • 29
    • 4244094761 scopus 로고    scopus 로고
    • Lectures on discrete geometry
    • Springer, Berlin, Germany
    • MATOUŠEK, J. 2002. Lectures on discrete geometry. Graduate Texts in Mathematics, vol. 212. Springer, Berlin, Germany.
    • (2002) Graduate Texts in Mathematics , vol.212
    • MATOUŠEK, J.1
  • 30
    • 0030445230 scopus 로고    scopus 로고
    • On the distortion required for embedding finite metric spaces into normed spaces
    • MATOUŠEK, J. 1996. On the distortion required for embedding finite metric spaces into normed spaces. Israel J. Math. 93, 333-344.
    • (1996) Israel J. Math , vol.93 , pp. 333-344
    • MATOUŠEK, J.1
  • 32
    • 0032680556 scopus 로고    scopus 로고
    • Small distortion and volume preserving embeddings for planar and Euclidean metrics
    • ACM Press, New York, NY
    • RAO, S. B. 1999. Small distortion and volume preserving embeddings for planar and Euclidean metrics. In Proceedings of the 15th ACM Symposium on Computational Geometry. ACM Press, New York, NY, 300-306.
    • (1999) Proceedings of the 15th ACM Symposium on Computational Geometry , pp. 300-306
    • RAO, S.B.1
  • 33
    • 0025415365 scopus 로고
    • The maximum concurrent flow problem
    • SHAHROKHI, F. AND MATULA, D. W. 1990. The maximum concurrent flow problem. J. ACM 37, 2, 318-334.
    • (1990) J. ACM , vol.37 , Issue.2 , pp. 318-334
    • SHAHROKHI, F.1    MATULA, D.W.2
  • 34
    • 0002265812 scopus 로고    scopus 로고
    • Cut problems and their application to divide-and-conquer
    • D. S. Hochbaum, Ed. PWS Publishing, Boston, MA
    • SHMOYS, D. B. 1997. Cut problems and their application to divide-and-conquer. In Approximation Algorithms for NP-hard Problems, D. S. Hochbaum, Ed. PWS Publishing, Boston, MA, 192-235.
    • (1997) Approximation Algorithms for NP-hard Problems , pp. 192-235
    • SHMOYS, D.B.1
  • 35
    • 20744433625 scopus 로고    scopus 로고
    • Suchen und Konstruieren durch Verdoppeln
    • I. Wegener, Ed. Springer, Berlin, Germany
    • WELZL, E. 1996. Suchen und Konstruieren durch Verdoppeln. In Highlights der Informatik, I. Wegener, Ed. Springer, Berlin, Germany, 221-228.
    • (1996) Highlights der Informatik , pp. 221-228
    • WELZL, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.