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Volumn 270, Issue 1-3, 1998, Pages 255-273

Finite metric spaces of strictly negative type

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EID: 0041853155     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)00242-5     Document Type: Article
Times cited : (45)

References (25)
  • 3
    • 0000583828 scopus 로고
    • Manifestations of the Schur complement
    • R. W. Cottle, Manifestations of the Schur complement, Linear Algebra Appl. 8:189-211 (1974).
    • (1974) Linear Algebra Appl. , vol.8 , pp. 189-211
    • Cottle, R.W.1
  • 5
    • 0039435727 scopus 로고
    • Extreme hypermetrics and L-polytopes
    • G. Halász, L. Lovász, D. Miklós, and T. Szönyi, Eds., Colloq. Math. Soc. János Bolyai, North-Holland, Amsterdam
    • M. Deza, V. P. Grishukhin, and M. Laurent. Extreme hypermetrics and L-polytopes, in Sets, Graphs and Numbers (G. Halász, L. Lovász, D. Miklós, and T. Szönyi, Eds.), Colloq. Math. Soc. János Bolyai, 60, North-Holland, Amsterdam, 1992, pp. 157-209.
    • (1992) Sets, Graphs and Numbers , vol.60 , pp. 157-209
    • Deza, M.1    Grishukhin, V.P.2    Laurent, M.3
  • 6
    • 0039111206 scopus 로고
    • Hypermetrics in geometry of numbers
    • W. Cook, L. Lovász, and P. Seymour, Eds., DIMACS Ser. Discrete Math. Theoret. Comput. Sci. Amer. Math. Soc., Providence
    • M. Deza, V. P. Grishukhin, and M. Laurent, Hypermetrics in geometry of numbers, in Combinatorial Optimization (W. Cook, L. Lovász, and P. Seymour, Eds.), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 20, Amer. Math. Soc., Providence, 1994, pp. 1-109.
    • (1994) Combinatorial Optimization , vol.20 , pp. 1-109
    • Deza, M.1    Grishukhin, V.P.2    Laurent, M.3
  • 7
    • 0000918120 scopus 로고
    • Sur la courbure totale d'une courbe gauche faisant un nœud
    • I. Fáry, Sur la courbure totale d'une courbe gauche faisant un nœud, Bull. Soc. Math. France 77:128-138 (1949).
    • (1949) Bull. Soc. Math. France , vol.77 , pp. 128-138
    • Fáry, I.1
  • 9
    • 0038087036 scopus 로고
    • Properties of euclidean and non-euclidean distance matrices
    • J. C. Gower, Properties of Euclidean and non-Euclidean distance matrices, Linear Algebra Appl. 67:81-97 (1985).
    • (1985) Linear Algebra Appl. , vol.67 , pp. 81-97
    • Gower, J.C.1
  • 10
    • 0009245040 scopus 로고
    • Euclidean distance geometry
    • J. C. Gower, Euclidean distance geometry, Math. Sci. 7(1):1-14 (1982).
    • (1982) Math. Sci. , vol.7 , Issue.1 , pp. 1-14
    • Gower, J.C.1
  • 11
    • 0010758294 scopus 로고
    • On the distance matrix of a directed graph
    • R. L. Graham, A. J. Hoffman, and H. Hosoya, On the distance matrix of a directed graph, J. Graph Theory, 1:85-88 (1977).
    • (1977) J. Graph Theory , vol.1 , pp. 85-88
    • Graham, R.L.1    Hoffman, A.J.2    Hosoya, H.3
  • 13
    • 84967728270 scopus 로고
    • New extremal problems for the Riemannian recognition program via Alexandrov geometry
    • K. Grove and S. Markvorsen, New extremal problems for the Riemannian recognition program via Alexandrov geometry, J. Amer. Math. Soc. 8:1-28 (1995).
    • (1995) J. Amer. Math. Soc. , vol.8 , pp. 1-28
    • Grove, K.1    Markvorsen, S.2
  • 14
    • 0041904419 scopus 로고
    • Approximation by matrices positive semidefinite on a subspace
    • T. L. Hayden and J. Wells, Approximation by matrices positive semidefinite on a subspace, Linear Algebra Appl. 109:115-130 (1988).
    • (1988) Linear Algebra Appl. , vol.109 , pp. 115-130
    • Hayden, T.L.1    Wells, J.2
  • 16
    • 0041555995 scopus 로고
    • Combinatorial inequalities
    • R. Guy et al., Ed., Gordon and Breach
    • J. B. Kelly, Combinatorial inequalities, in Combinatorial Structures and Their Applications, (R. Guy et al., Ed.), Gordon and Breach, 1970, pp. 201-207.
    • (1970) Combinatorial Structures and Their Applications , pp. 201-207
    • Kelly, J.B.1
  • 17
    • 0039576248 scopus 로고
    • Hypermetric spaces and metric transforms
    • O. Shisha, Ed., Academic Press
    • J. B. Kelly, Hypermetric spaces and metric transforms, in Inequalities II (O. Shisha, Ed.), Academic Press, 1970, pp. 149-159.
    • (1970) Inequalities II , pp. 149-159
    • Kelly, J.B.1
  • 18
    • 0002260944 scopus 로고
    • Hypermetric spaces
    • The Geometry of Metric and Linear Spaces (L. M. Kelly, Ed.), Springer
    • J. B. Kelly, Hypermetric spaces, in The Geometry of Metric and Linear Spaces (L. M. Kelly, Ed.), Lecture Notes in Math. 490, Springer, 1975, pp. 17-31.
    • (1975) Lecture Notes in Math. , vol.490 , pp. 17-31
    • Kelly, J.B.1
  • 20
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • C. A. Micchelli, Interpolation of scattered data: Distance matrices and conditionally positive definite functions, Constr. Approx. 2:11-22 (1986).
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 21
    • 0042057197 scopus 로고
    • On the sum of distances between n points on a sphere
    • F. Nielsen, On the sum of distances between n points on a sphere (in Danish), Nordisk Mat. Tidskrift 13:45-50 (1965).
    • (1965) Nordisk Mat. Tidskrift , vol.13 , pp. 45-50
    • Nielsen, F.1
  • 22
    • 84941498586 scopus 로고
    • Über den transfiniten durchmesser (kapazitätskonstante) von ebenen und räumlichen punktmengen
    • G. Pólya and G. Szego, Über den transfiniten Durchmesser (Kapazitätskonstante) von ebenen und räumlichen Punktmengen, J. Reine Angew, Math. 165:4-39 (1931).
    • (1931) J. Reine Angew, Math. , vol.165 , pp. 4-39
    • Pólya, G.1    Szego, G.2
  • 23
    • 0041555991 scopus 로고
    • Distance matrices and ridge function interpolation
    • L. Reid and X. Sun, Distance matrices and ridge function interpolation, Canad. J. Math. 45:1313-1323 (1993).
    • (1993) Canad. J. Math. , vol.45 , pp. 1313-1323
    • Reid, L.1    Sun, X.2
  • 24
    • 0001641319 scopus 로고
    • On certain metric spaces arising from Euclidean spaces by a change of metric and their embedding in Hilbert space
    • I. J. Schoenberg, On certain metric spaces arising from Euclidean spaces by a change of metric and their embedding in Hilbert space, Ann. of Math. 38:787-793 (1937).
    • (1937) Ann. of Math. , vol.38 , pp. 787-793
    • Schoenberg, I.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.