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Volumn 17, Issue 4, 1997, Pages 393-410

On Helly's theorem: Algorithms and extensions

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EID: 0031525872     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009300     Document Type: Article
Times cited : (1)

References (18)
  • 2
    • 33744661076 scopus 로고
    • Computational aspects of Helly's theorem and its relatives
    • D. Avis and M.E. Houle, Computational aspects of Helly's theorem and its relatives, Internat. J. Comput. Geom. Appl. 5 (1995), 357-367.
    • (1995) Internat. J. Comput. Geom. Appl. , vol.5 , pp. 357-367
    • Avis, D.1    Houle, M.E.2
  • 5
    • 0002171686 scopus 로고
    • Helly, Radon and Carathéodory type theorems
    • P.M. Gruber and J.M. Wills, eds., North-Holland, Amsterdam
    • J. Eckhoff, Helly, Radon and Carathéodory type theorems, in: Handbook of Convex Geometry, P.M. Gruber and J.M. Wills, eds., North-Holland, Amsterdam, 1993, pp. 389-448.
    • (1993) Handbook of Convex Geometry , pp. 389-448
    • Eckhoff, J.1
  • 6
    • 0022161165 scopus 로고
    • On the complexity of four polyhedral set containment problems
    • R.M. Freund and J.B. Orlin, On the complexity of four polyhedral set containment problems, Math. Programming 33 (1985), 139-145.
    • (1985) Math. Programming , vol.33 , pp. 139-145
    • Freund, R.M.1    Orlin, J.B.2
  • 7
    • 0000012770 scopus 로고
    • Inner and outer j-radii of convex bodies in finite-dimensional normed spaces
    • P. Gritzmann and V. Klee, Inner and outer j-radii of convex bodies in finite-dimensional normed spaces, Discrete Comput. Geom. 7 (1992), 255-280.
    • (1992) Discrete Comput. Geom. , vol.7 , pp. 255-280
    • Gritzmann, P.1    Klee, V.2
  • 8
    • 34250075248 scopus 로고
    • Computational complexity of inner and outer j-radii of polytopes in finite-dimensional normed spaces
    • P. Gritzmann and V. Klee, Computational complexity of inner and outer j-radii of polytopes in finite-dimensional normed spaces, Math. Programming 59 (1993), 163-213.
    • (1993) Math. Programming , vol.59 , pp. 163-213
    • Gritzmann, P.1    Klee, V.2
  • 9
    • 0001535602 scopus 로고
    • On the complexity of some basic problems in computational convexity: I. Containment problems
    • P. Gritzmann and V. Klee, On the complexity of some basic problems in computational convexity: I. Containment problems, Discrete Math. 136 (1994), 129-174.
    • (1994) Discrete Math. , vol.136 , pp. 129-174
    • Gritzmann, P.1    Klee, V.2
  • 10
    • 0001734192 scopus 로고
    • Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases
    • P. Gritzmann and B. Sturmfels, Minkowski addition of polytopes: Computational complexity and applications to Gröbner bases, SIAM J. Discrete Math. 6 (1993), 246-269.
    • (1993) SIAM J. Discrete Math. , vol.6 , pp. 246-269
    • Gritzmann, P.1    Sturmfels, B.2
  • 12
    • 0000998989 scopus 로고
    • Über Mengen konvexer Körper mit gemeinschaftlichen Punkten
    • E. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jahresber. Deutsch. Math.-Verein. 32 (1923), 175-176.
    • (1923) Jahresber. Deutsch. Math.-Verein. , vol.32 , pp. 175-176
    • Helly, E.1
  • 14
    • 0012910374 scopus 로고
    • The critical set of a convex body
    • V. Klee, The critical set of a convex body, Amer. J. Math. 75 (1953), 178-188.
    • (1953) Amer. J. Math. , vol.75 , pp. 178-188
    • Klee, V.1
  • 15
    • 0012961250 scopus 로고
    • Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten
    • J. Radon, Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten, Math. Ann 83 (1921) 113-115.
    • (1921) Math. Ann , vol.83 , pp. 113-115
    • Radon, J.1
  • 18
    • 0040905111 scopus 로고
    • Sur une extension d'un théorème de M.J. Radon sur les ensembles de corps convexes
    • P. Vincensini, Sur une extension d'un théorème de M.J. Radon sur les ensembles de corps convexes, Bull. Soc. Math. France 67 (1939), 115-119.
    • (1939) Bull. Soc. Math. France , vol.67 , pp. 115-119
    • Vincensini, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.