메뉴 건너뛰기




Volumn 145, Issue 1, 2005, Pages 73-81

On the packing densities and the covering densities of the Cartesian products of convex bodies

Author keywords

Convex body; Covering; Minkowski metric; Packing

Indexed keywords


EID: 18244372940     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-004-0274-z     Document Type: Article
Times cited : (1)

References (17)
  • 1
    • 0040751013 scopus 로고
    • The covering constant for a cylinder
    • Bambah RP, Woods AC (1968) The covering constant for a cylinder. Monatsh Math 72: 107-117
    • (1968) Monatsh Math , vol.72 , pp. 107-117
    • Bambah, R.P.1    Woods, A.C.2
  • 2
    • 84963008179 scopus 로고
    • The critical determinant of a convex cylinder
    • Corrigendum, ibid 24: 240
    • Chalk JHH, Rogers CA (1949) The critical determinant of a convex cylinder. J London Math Soc 23: 178-187; Corrigendum, ibid 24: 240
    • (1949) J London Math Soc , vol.23 , pp. 178-187
    • Chalk, J.H.H.1    Rogers, C.A.2
  • 4
    • 0002323154 scopus 로고    scopus 로고
    • Packing and covering
    • Goodman JE, O'Rourke J (eds) . New York: CRC Press
    • Fejes Tóth G (1997) Packing and covering. In: Goodman JE, O'Rourke J (eds) Handbook of Discrete and Computational Geometry, pp 19-41. New York: CRC Press
    • (1997) Handbook of Discrete and Computational Geometry , pp. 19-41
    • Fejes Tóth, G.1
  • 5
    • 0002337176 scopus 로고
    • Packing and covering with convex sets
    • Gruber PM, Wills JM (eds) . Amsterdam: North-Holland
    • Fejes Tóth G, Kuperberg W (1993) Packing and covering with convex sets. In: Gruber PM, Wills JM (eds) Handbook of Convex Geometry, pp 799-860. Amsterdam: North-Holland
    • (1993) Handbook of Convex Geometry , pp. 799-860
    • Fejes Tóth, G.1    Kuperberg, W.2
  • 6
    • 0013526298 scopus 로고
    • Some packing and covering theorems
    • Fejes Tóth L (1950) Some packing and covering theorems. Acta Math Sci Hungar 12: 62-67
    • (1950) Acta Math Sci Hungar , vol.12 , pp. 62-67
    • Fejes Tóth, L.1
  • 10
    • 0040520528 scopus 로고
    • On lattice points in a cylinder
    • Mahler K (1947) On lattice points in a cylinder. Quarterly J Math 17: 16-18
    • (1947) Quarterly J Math , vol.17 , pp. 16-18
    • Mahler, K.1
  • 11
    • 84976163902 scopus 로고
    • A note on coverings
    • Rogers CA (1957) A note on coverings. Mathematika 4: 1-6
    • (1957) Mathematika , vol.4 , pp. 1-6
    • Rogers, C.A.1
  • 12
    • 84976024989 scopus 로고
    • Lattice coverings of space
    • Rogers CA (1959) Lattice coverings of space. Mathematika 6: 33-39
    • (1959) Mathematika , vol.6 , pp. 33-39
    • Rogers, C.A.1
  • 14
    • 0038971713 scopus 로고
    • Zur Lagerung kongruenter Körper in Raum
    • Schmidt W (1961) Zur Lagerung kongruenter Körper in Raum. Monatsh Math 65: 154-158
    • (1961) Monatsh Math , vol.65 , pp. 154-158
    • Schmidt, W.1
  • 16
    • 84963015805 scopus 로고
    • The critical determinant of a spherical cylinder
    • Woods A (1958) The critical determinant of a spherical cylinder. J London Math Soc 33: 357-368
    • (1958) J London Math Soc , vol.33 , pp. 357-368
    • Woods, A.1
  • 17
    • 84962985457 scopus 로고
    • Lattice points in a cylinder over a convex domain
    • Yeh Y (1948) Lattice points in a cylinder over a convex domain. J London Math Soc 23: 188-195
    • (1948) J London Math Soc , vol.23 , pp. 188-195
    • Yeh, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.