메뉴 건너뛰기




Volumn 21, Issue 3, 1999, Pages 437-447

Vertex degrees of Steiner Minimal Trees in ℓdp and other smooth Minkowski spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040318632     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009431     Document Type: Article
Times cited : (8)

References (24)
  • 1
    • 0002571691 scopus 로고
    • The fermat problem in Minkowski spaces
    • G. D. Chakerian and M. A. Ghandehari, The Fermat problem in Minkowski spaces, Geom. Dedicata 17 (1985), 227-238.
    • (1985) Geom. Dedicata , vol.17 , pp. 227-238
    • Chakerian, G.D.1    Ghandehari, M.A.2
  • 2
    • 0000428085 scopus 로고
    • Finding minimum spanning trees
    • D. Cheriton and R. E. Tarjan, Finding minimum spanning trees, SIAM J. Comput. 5 (1976), 724-742.
    • (1976) SIAM J. Comput. , vol.5 , pp. 724-742
    • Cheriton, D.1    Tarjan, R.E.2
  • 3
    • 0040775317 scopus 로고
    • Knotengrade kürzester Bäume in endlichdimensionalen Banachräumen
    • D. Cieslik, Knotengrade kürzester Bäume in endlichdimensionalen Banachräumen, Rostock Math. Kolloq. 39 (1990), 89-93.
    • (1990) Rostock Math. Kolloq. , vol.39 , pp. 89-93
    • Cieslik, D.1
  • 4
    • 0038996968 scopus 로고
    • Anwendung einer Blichfeldtschen Beweismethode in der Geometrie der Zahlen
    • J. G. van der Corput and G. Schaake, Anwendung einer Blichfeldtschen Beweismethode in der Geometrie der Zahlen, Acta Arith. 2 (1937), 152-160.
    • (1937) Acta Arith. , vol.2 , pp. 152-160
    • Van Der Corput, J.G.1    Schaake, G.2
  • 5
    • 0000652912 scopus 로고
    • Absolute and unconditional convergence in normed linear spaces
    • A. Dvoretzky and C. A. Rogers, Absolute and unconditional convergence in normed linear spaces, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 192-197.
    • (1950) Proc. Nat. Acad. Sci. U.S.A. , vol.36 , pp. 192-197
    • Dvoretzky, A.1    Rogers, C.A.2
  • 6
    • 0039133286 scopus 로고
    • Singularities of minimal surfaces and networks and related extremal problems in Minkowski space
    • Discrete and Computational Geometry (J. E. Goodman, R. Pollack and W. Steiger, eds.), American Mathematical Society, Providence, RI
    • Z. Füredi, J. C. Lagarias, and F. Morgan, Singularities of minimal surfaces and networks and related extremal problems in Minkowski space, in Discrete and Computational Geometry (J. E. Goodman, R. Pollack and W. Steiger, eds.), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 6. American Mathematical Society, Providence, RI, 1991, pp. 95-109.
    • (1991) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.6 , pp. 95-109
    • Füredi, Z.1    Lagarias, J.C.2    Morgan, F.3
  • 7
    • 0000287785 scopus 로고
    • The complexity of computing Steiner minimal trees
    • M. R. Garey, R. L. Graham and D. S. Johnson, The complexity of computing Steiner minimal trees, SIAM J. Appl. Math. 32 (1977), 835-839.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 835-839
    • Garey, M.R.1    Graham, R.L.2    Johnson, D.S.3
  • 8
    • 0000727336 scopus 로고
    • The rectilinear steiner tree problem is NP-complete
    • M. R. Garey and D. S. Johnson, The rectilinear Steiner tree problem is NP-complete, SIAM J. Appl. Math. 32 (1977), 826-834.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 826-834
    • Garey, M.R.1    Johnson, D.S.2
  • 9
    • 51249191034 scopus 로고
    • Relations between some constants associated with finite dimensional Banach spaces
    • D. J. H. Garling and Y. Gordon, Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math. 9 (1971), 346-361.
    • (1971) Israel J. Math. , vol.9 , pp. 346-361
    • Garling, D.J.H.1    Gordon, Y.2
  • 10
    • 0039589771 scopus 로고
    • Les meilleurs constantes de l'inégalité de Khintchine
    • U. Haagerup, Les meilleurs constantes de l'inégalité de Khintchine, C. R. Acad. Sci. Paris A286 (1978), 259-262.
    • (1978) C. R. Acad. Sci. Paris , vol.A286 , pp. 259-262
    • Haagerup, U.1
  • 11
    • 0001613468 scopus 로고
    • The best constants in the khintchine inequality
    • U. Haagerup, The best constants in the Khintchine inequality, Studia Math. 70 (1982), 231-283.
    • (1982) Studia Math. , vol.70 , pp. 231-283
    • Haagerup, U.1
  • 12
    • 0002282432 scopus 로고
    • Certain functionals on the Minkowski compactum
    • Russian
    • M. I. Kadets and M. G. Snobar, Certain functionals on the Minkowski compactum. Mat. Zametki 10 (1971), 453-457 (Russian), English transl. Math. Notes 10 (1971), 694-696.
    • (1971) Mat. Zametki , vol.10 , pp. 453-457
    • Kadets, M.I.1    Snobar, M.G.2
  • 13
    • 34250470567 scopus 로고
    • M. I. Kadets and M. G. Snobar, Certain functionals on the Minkowski compactum. Mat. Zametki 10 (1971), 453-457 (Russian), English transl. Math. Notes 10 (1971), 694-696.
    • (1971) Math. Notes , vol.10 , pp. 694-696
  • 14
    • 0009148389 scopus 로고
    • Bounds for projection constants and 1-summing norms
    • H. König and N. Tomczak-Jaegermann, Bounds for projection constants and 1-summing norms, Trans. Amer. Math. Soc. 320 (1990), 799-823.
    • (1990) Trans. Amer. Math. Soc. , vol.320 , pp. 799-823
    • König, H.1    Tomczak-Jaegermann, N.2
  • 15
    • 84972550835 scopus 로고
    • Paired calibrations applied to soap films, immiscible fluids, and surfaces and networks minimizing other norms
    • G. R. Lawlor and F. Morgan, Paired calibrations applied to soap films, immiscible fluids, and surfaces and networks minimizing other norms, Pacific J. Math. 166 (1994), 55-82.
    • (1994) Pacific J. Math. , vol.166 , pp. 55-82
    • Lawlor, G.R.1    Morgan, F.2
  • 16
    • 0002109969 scopus 로고
    • Modelling inter-city road distances by mathematical functions
    • R. F. Love and J. G. Morris, Modelling inter-city road distances by mathematical functions, J. Oper. Res. Soc. 23 (1972), 61-71.
    • (1972) J. Oper. Res. Soc. , vol.23 , pp. 61-71
    • Love, R.F.1    Morris, J.G.2
  • 17
    • 84966216693 scopus 로고
    • Absolute and unconditional convergence
    • M. S. Macphail, Absolute and unconditional convergence, Bull. Amer. Math. Soc. 53 (1947), 121-123.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 121-123
    • Macphail, M.S.1
  • 18
    • 0038856118 scopus 로고
    • On the closest packing of spheres in n dimensions
    • R. A. Rankin, On the closest packing of spheres in n dimensions, Ann. of Math. 48 (1947), 1062-1081.
    • (1947) Ann. of Math. , vol.48 , pp. 1062-1081
    • Rankin, R.A.1
  • 19
    • 0040180991 scopus 로고
    • On sums of powers of linear forms I, II
    • R. A. Rankin, On sums of powers of linear forms I, II, Ann. of Math. 50 (1949), 691-704.
    • (1949) Ann. of Math. , vol.50 , pp. 691-704
    • Rankin, R.A.1
  • 20
    • 5244350263 scopus 로고
    • Low-degree minimum spanning trees
    • G. Robins and J. S. Salowe, Low-degree minimum spanning trees, Discrete Comput. Geom. 14 (1995), 151-165.
    • (1995) Discrete Comput. Geom. , vol.14 , pp. 151-165
    • Robins, G.1    Salowe, J.S.2
  • 21
    • 84962991955 scopus 로고
    • Some parameters associated with finite dimensional banach spaces
    • D. Rutovitz, Some parameters associated with finite dimensional Banach spaces, J. London Math. Soc. 40 (1965), 241-255.
    • (1965) J. London Math. Soc. , vol.40 , pp. 241-255
    • Rutovitz, D.1
  • 22
    • 21344472740 scopus 로고    scopus 로고
    • Extremal problems in Minkowski space related to minimal networks
    • K. J. Swanepoel, Extremal problems in Minkowski space related to minimal networks, Proc. Amer. Math. Soc. 124 (1996), 2513-2518.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 2513-2518
    • Swanepoel, K.J.1
  • 23
    • 0000913075 scopus 로고
    • On the best constants in the khintchine inequality
    • S. J. Szarek, On the best constants in the Khintchine inequality, Studia Math. 58 (1976), 197-208.
    • (1976) Studia Math. , vol.58 , pp. 197-208
    • Szarek, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.