메뉴 건너뛰기




Volumn 67, Issue 1, 2003, Pages 29-40

Simultaneous packing and covering in three-dimensional euclidean space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038583826     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003873     Document Type: Article
Times cited : (9)

References (18)
  • 1
    • 0002184625 scopus 로고
    • Closest packing and loosest covering of the space with balls
    • K. BÖRÖCZKY, 'Closest packing and loosest covering of the space with balls', Studia Sci. Math. Hungar. 21 (1986) 79-89.
    • (1986) Studia Sci. Math. Hungar. , vol.21 , pp. 79-89
    • Böröczky, K.1
  • 2
    • 0000848517 scopus 로고
    • Simultaneous packing and covering in Euclidean space
    • G. J. BUTLER, 'Simultaneous packing and covering in Euclidean space', Proc. London Math. Soc. 25 (1972) 721-735.
    • (1972) Proc. London Math. Soc. , vol.25 , pp. 721-735
    • Butler, G.J.1
  • 5
    • 0003667237 scopus 로고
    • Cambridge University Press, Cambridge
    • H. G. EGGLESTON, Convexity (Cambridge University Press, Cambridge, 1958).
    • (1958) Convexity
    • Eggleston, H.G.1
  • 6
    • 0002337176 scopus 로고
    • Packing and covering with convex sets
    • ed. P. M. Gruber and J. M. Wills, North-Holland, Amsterdam
    • G. FEJES TÓTH and W. KUPERBERG, 'Packing and covering with convex sets', Handbook of convex geometry (ed. P. M. Gruber and J. M. Wills, North-Holland, Amsterdam, 1993) 799-860.
    • (1993) Handbook of Convex Geometry , pp. 799-860
    • Fejes Tóth, G.1    Kuperberg, W.2
  • 8
    • 84972491767 scopus 로고
    • On a conjecture of H. Hadwiger
    • B. GRÜNBAUM, 'On a conjecture of H. Hadwiger', Pacific J. Math. 11 (1961) 215-219.
    • (1961) Pacific J. Math. , vol.11 , pp. 215-219
    • Grünbaum, B.1
  • 9
    • 0038305359 scopus 로고
    • Finite and infinite packings
    • Universität Siegen
    • M. HENK, 'Finite and infinite packings', Habilitationsschrift, Universität Siegen, 1995.
    • (1995) Habilitationsschrift
    • Henk, M.1
  • 12
    • 84963002094 scopus 로고
    • A note on coverings and packings
    • C. A. ROGERS, 'A note on coverings and packings', J. London Math. Soc. 25 (1950) 327-331.
    • (1950) J. London Math. Soc. , vol.25 , pp. 327-331
    • Rogers, C.A.1
  • 13
    • 0039530536 scopus 로고    scopus 로고
    • A density bound for efficient packings of 3-space with centrally symmetric convex bodies
    • E. H. SMITH, 'A density bound for efficient packings of 3-space with centrally symmetric convex bodies', Mathematika 46 (1999) 137-144.
    • (1999) Mathematika , vol.46 , pp. 137-144
    • Smith, E.H.1
  • 14
    • 0034382392 scopus 로고    scopus 로고
    • A bound on the ratio between the packing and covering densities of a convex body
    • E. H. SMITH, 'A bound on the ratio between the packing and covering densities of a convex body', Discrete Comput. Geom. 23 (2000) 325-331.
    • (2000) Discrete Comput. Geom. , vol.23 , pp. 325-331
    • Smith, E.H.1
  • 15
    • 0004236285 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • A. C. THOMPSON, Minkowski geometry (Cambridge University Press, Cambridge, 1996).
    • (1996) Minkowski Geometry
    • Thompson, A.C.1
  • 18
    • 0010745411 scopus 로고    scopus 로고
    • Simultaneous packing and covering in the Euclidean plane
    • C. ZONG, 'Simultaneous packing and covering in the Euclidean plane', Monatsh. Math. 134 (2002) 247-255.
    • (2002) Monatsh. Math. , vol.134 , pp. 247-255
    • Zong, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.