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Volumn , Issue , 2003, Pages 534-543

Bounded geometries, fractals, and low-distortion embeddings

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FRACTALS; GRAPH THEORY; PROBABILITY; THEOREM PROVING; TREES (MATHEMATICS); COMBINATORIAL MATHEMATICS; COMPUTER SCIENCE; DOMAIN DECOMPOSITION METHODS; FORESTRY; GEOMETRY; POWER GENERATION; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY; TOPOLOGY;

EID: 0344550482     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (446)

References (36)
  • 3
    • 0000927271 scopus 로고    scopus 로고
    • An O(Log k) approximate min-cut max-flow theorem and approximation algorithm
    • Y. Aumann and Y. Rabani. An O(Log k) approximate min-cut max-flow theorem and approximation algorithm. SIAM J. Comput., 27(1):291-301, 1998.
    • (1998) SIAM J. Comput. , vol.27 , Issue.1 , pp. 291-301
    • Aumann, Y.1    Rabani, Y.2
  • 4
    • 51249178997 scopus 로고
    • On lipschitz embedding of finite metric spaces in Hilbert space
    • J. Bourgain. On Lipschitz embedding of finite metric spaces in Hilbert space. Israel J. Math., 52(1-2):46-52, 1985.
    • (1985) Israel J. Math. , vol.52 , Issue.1-2 , pp. 46-52
    • Bourgain, J.1
  • 5
    • 51249171061 scopus 로고
    • The metrical interpretation of superreflexivity in Banach spaces
    • J. Bourgain. The metrical interpretation of superreflexivity in Banach spaces. Israel J. Math., 56(2):222-230, 1986.
    • (1986) Israel J. Math. , vol.56 , Issue.2 , pp. 222-230
    • Bourgain, J.1
  • 8
    • 38249021538 scopus 로고
    • Graphs with small bandwidth and cutwidth
    • F. R. K. Chung and P. D. Seymour. Graphs with small bandwidth and cutwidth. Discrete Math., 75(1-3):113-119, 1989.
    • (1989) Discrete Math. , vol.75 , Issue.1-3 , pp. 113-119
    • Chung, F.R.K.1    Seymour, P.D.2
  • 11
    • 0034206224 scopus 로고    scopus 로고
    • Approximating the bandwidth via volume respecting embeddings
    • U. Feige. Approximating the bandwidth via volume respecting embeddings. J. Comput. System Sci., 60(3):510-539, 2000.
    • (2000) J. Comput. System Sci. , vol.60 , Issue.3 , pp. 510-539
    • Feige, U.1
  • 12
    • 0344359893 scopus 로고    scopus 로고
    • Improved bandwidth approximation for trees and chordal graphs
    • A. Gupta. Improved bandwidth approximation for trees and chordal graphs. J. Algorithms, 40(1):24-36, 2001.
    • (2001) J. Algorithms , vol.40 , Issue.1 , pp. 24-36
    • Gupta, A.1
  • 16
    • 0001654702 scopus 로고
    • Extensions of lipschitz mappings into a Hilbert space
    • Amer. Math. Soc., Providence, RI
    • W. B. Johnson and J. Lindenstrauss. Extensions of Lipschitz mappings into a Hilbert space. In Conference in modern analysis and probability, pages 189-206. Amer. Math. Soc., Providence, RI, 1984.
    • (1984) Conference in Modern Analysis and Probability , pp. 189-206
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 19
    • 0344793976 scopus 로고    scopus 로고
    • Navigating nets: Simple algorithms for proximity search
    • Manuscript, July
    • R. Krauthgamer and J. R. Lee. Navigating nets: Simple algorithms for proximity search. Manuscript, July 2003.
    • (2003)
    • Krauthgamer, R.1    Lee, J.R.2
  • 20
    • 0034411831 scopus 로고    scopus 로고
    • Ahlfors Q-regular spaces with arbitrary Q < 1 admitting weak Poincaré inequality
    • T. J. Laakso. Ahlfors Q-regular spaces with arbitrary Q < 1 admitting weak Poincaré inequality. Geom. Funct. Anal., 10(1):111-123, 2000.
    • (2000) Geom. Funct. Anal. , vol.10 , Issue.1 , pp. 111-123
    • Laakso, T.J.1
  • 22
    • 0038496290 scopus 로고    scopus 로고
    • Bilipschitz embeddings of metric spaces into space forms
    • U. Lang and C. Plaut. Bilipschitz embeddings of metric spaces into space forms. Geom. Dedicata, 87(1-3):285-307, 2001.
    • (2001) Geom. Dedicata , vol.87 , Issue.1-3 , pp. 285-307
    • Lang, U.1    Plaut, C.2
  • 23
    • 0344793975 scopus 로고    scopus 로고
    • 1: Dimension, snowflakes, and average distortion
    • Manuscript, July
    • 1: Dimension, snowflakes, and average distortion. Manuscript, July 2003.
    • (2003)
    • Lee, J.R.1    Mendel, M.2    Naor, A.3
  • 26
    • 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(2):215-245, 1995.
    • (1995) Combinatorica , vol.15 , Issue.2 , pp. 215-245
    • Linial, N.1    London, E.2    Rabinovich, Y.3
  • 28
    • 0001570001 scopus 로고    scopus 로고
    • On embedding trees into uniformly convex Banach spaces
    • J. Matoušek. On embedding trees into uniformly convex Banach spaces. Israel J. Math., 114:221-237, 1999.
    • (1999) Israel J. Math. , vol.114 , pp. 221-237
    • Matoušek, J.1
  • 30
    • 0037666876 scopus 로고    scopus 로고
    • A lower bound on the distortion of embedding planar metrics into Euclidean space
    • I. Newman and Y. Rabinovich. A lower bound on the distortion of embedding planar metrics into Euclidean space. Discrete Comput. Geom., 29(1):77-81, 2003.
    • (2003) Discrete Comput. Geom. , vol.29 , Issue.1 , pp. 77-81
    • Newman, I.1    Rabinovich, Y.2
  • 32
    • 0033433272 scopus 로고    scopus 로고
    • Accessing nearby copies of replicated objects in a distributed environment
    • C. G. Plaxton, R. Rajaraman, and A. W. Richa, Accessing nearby copies of replicated objects in a distributed environment. Theory Comput. Syst., 32(3):241-280, 1999.
    • (1999) Theory Comput. Syst. , vol.32 , Issue.3 , pp. 241-280
    • Plaxton, C.G.1    Rajaraman, R.2    Richa, A.W.3
  • 34
    • 0032680556 scopus 로고    scopus 로고
    • Small distortion and volume preserving embeddings for planar and Euclidean metrics
    • ACM
    • S. Rao. Small distortion and volume preserving embeddings for planar and Euclidean metrics. In 15th Annual Symposium on Computational Geometry, pages 300-306, ACM, 1999.
    • (1999) 15th Annual Symposium on Computational Geometry , pp. 300-306
    • Rao, S.1
  • 36
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.