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Volumn 19, Issue 1, 1998, Pages 79-94

Lower bounds on the distortion of embedding finite metric spaces in graphs

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EID: 0032332279     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009336     Document Type: Article
Times cited : (86)

References (14)
  • 2
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    • B. Awerbuch, Complexity of network synchronization, J. Assoc. Comput. Mach. 32 (1985), 804-823.
    • (1985) J. Assoc. Comput. Mach. , vol.32 , pp. 804-823
    • Awerbuch, B.1
  • 4
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    • 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 (1985), 46-52.
    • (1985) Israel J. Math. , vol.52 , pp. 46-52
    • Bourgain, J.1
  • 5
    • 0015744267 scopus 로고
    • Hilbert's metric and positive contraction mappings in a Banach space
    • P. J. Bushell, Hilbert's metric and positive contraction mappings in a Banach space, Arch. Rational Mech. Anal. 52 (1973), 330-338.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 330-338
    • Bushell, P.J.1
  • 7
    • 0001654702 scopus 로고
    • Extensions of Lipschitz mappings into a Hilbert space
    • W. B. Johnson and J. Lindenstrauss, Extensions of Lipschitz mappings into a Hilbert space, Contemp. Math. 26 (1984), 189-206.
    • (1984) Contemp. Math. , vol.26 , pp. 189-206
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 8
    • 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 (1995), 215-245.
    • (1995) Combinatorica , vol.15 , pp. 215-245
    • Linial, N.1    London, E.2    Rabinovich, Y.3
  • 9
    • 0024045909 scopus 로고
    • Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and superconcentrators
    • G. A. Margulis, Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and superconcentrators, Problems of Information Transmission 24 (1988), 39-46. (Translated from Russian, Problemy Peredachi Informatsii 24 (1988), 51-66.)
    • (1988) Problems of Information Transmission , vol.24 , pp. 39-46
    • Margulis, G.A.1
  • 10
    • 0024045909 scopus 로고
    • G. A. Margulis, Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and superconcentrators, Problems of Information Transmission 24 (1988), 39-46. (Translated from Russian, Problemy Peredachi Informatsii 24 (1988), 51-66.)
    • (1988) Problemy Peredachi Informatsii , vol.24 , pp. 51-66
  • 13
    • 0024715435 scopus 로고
    • An optimal synchronizer for the hypercube
    • D. Peleg and J. Ullman, An optimal synchronizer for the hypercube, SIAM J. Comput. 18 (1989), 740-747.
    • (1989) SIAM J. Comput. , vol.18 , pp. 740-747
    • Peleg, D.1    Ullman, J.2
  • 14
    • 0003618433 scopus 로고
    • Holt, Rinehart, and Winston, New York. Translated from Russian
    • I. M. Yaglom and V. G. Boltyanskii, Convex Figures, Holt, Rinehart, and Winston, New York, 1961. (Translated from Russian.)
    • (1961) Convex Figures
    • Yaglom, I.M.1    Boltyanskii, V.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.