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Volumn 2000, Issue 518, 2000, Pages 131-143

On a stronger form of Rogers's lemma and the minimum surface area of Voronoi cells in unit ball packings

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EID: 0034344440     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.2000.001     Document Type: Article
Times cited : (18)

References (16)
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    • Baranovskii, E.1
  • 2
    • 0031287909 scopus 로고    scopus 로고
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    • Bezdek, K.1
  • 3
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    • A lower bound for the surface area of Voronoi cells in unit ball packings of Ed
    • K. Bezdek, A lower bound for the surface area of Voronoi cells in unit ball packings of Ed preprint, Math. Inst. Hung. Acad. Sci. 6 (1998), 1-12.
    • (1998) preprint, Math. Inst. Hung. Acad. Sci. , vol.6 , pp. 1-12
    • Bezdek, K.1
  • 4
    • 0000386099 scopus 로고
    • The minimum value of quadratic forms, and the closet packing of spheres
    • F. Blichfeldt, The minimum value of quadratic forms, and the closet packing of spheres Math. Ann. 101 (1929), 605-608.
    • (1929) Math. Ann. , vol.101 , pp. 605-608
    • Blichfeldt, F.1
  • 5
    • 0002897777 scopus 로고
    • Packing equal spheres in spaces of constant curvature
    • K. Böröczky, Packing equal spheres in spaces of constant curvature Acta Math. Acad. Sci. Hung. 32 (3 -4) (1978), 243-261.
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    • Böröczky, K.1
  • 7
    • 0002337176 scopus 로고
    • Packing and Covering with Convex Sets Handbook of Convex Geometry
    • (P.M. Gruber and J.M. Wills, eds.)
    • G. Fejes Toth and W. Kuperberg, Packing and Covering with Convex Sets Handbook of Convex Geometry (P.M. Gruber and J.M. Wills, eds.), Elsevier Science Publishers (1993), 799-860.
    • (1993) Elsevier Science Publishers , pp. 799-860
    • Fejes Toth, G.1    Kuperberg, W.2
  • 8
    • 0001214488 scopus 로고
    • Über die dichteste Kugellagerung
    • L. Fejes Toth, Über die dichteste Kugellagerung Math. Z. 48 (1943), 676-684.
    • (1943) Math. Z. , vol.48 , pp. 676-684
    • Fejes Toth, L.1
  • 10
    • 0002582320 scopus 로고
    • Extremum problems for convex discs and polyhedra Handbook of Convex Geometry
    • (P.M. Gruber and J.M. Wills, eds.)
    • A. Florian, Extremum problems for convex discs and polyhedra Handbook of Convex Geometry (P.M. Gruber and J.M. Wills, eds.), Elsevier Science Publishers (1993), 177-221.
    • (1993) Elsevier Science Publishers , pp. 177-221
    • Florian, A.1
  • 13
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    • Sphere packing in R3
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  • 14
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    • A new bound on the local density of sphere packings
    • D. Muder, A new bound on the local density of sphere packings Disc. Comp. Geom. 10 (1993), 351-375.
    • (1993) Disc. Comp. Geom. , vol.10 , pp. 351-375
    • Muder, D.1
  • 15
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    • The packing of equal spheres
    • C.A. Rogers, The packing of equal spheres Proc. London Math. Soc. 3 (8) (1958), 609-620.
    • (1958) Proc. London Math. Soc. , vol.3 , Issue.8 , pp. 609-620
    • Rogers, C.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.