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Volumn 174, Issue 2, 2003, Pages 227-235

A fractional Helly theorem for convex lattice sets

Author keywords

Convex bodies and lattices; Helly's theorem

Indexed keywords


EID: 0344088407     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0001-8708(02)00037-3     Document Type: Review
Times cited : (36)

References (12)
  • 1
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    • Alon, N.1    Kalai, G.2    Matoušek, J.3    Meshulam, R.4
  • 2
    • 38249009255 scopus 로고
    • Piercing convex sets and the Hadwiger Debrunner (p, q)-problem
    • N. Alon, D. Kleitman, Piercing convex sets and the Hadwiger Debrunner (p, q)-problem, Adv. Math. 96 (1) (1992) 103-112.
    • (1992) Adv. Math. , vol.96 , Issue.1 , pp. 103-112
    • Alon, N.1    Kleitman, D.2
  • 3
    • 0001754967 scopus 로고
    • A generalization of Carathéodory's theorem
    • I. Bárány, A generalization of Carathéodory's theorem, Discrete Math. 40 (1982) 141-152.
    • (1982) Discrete Math. , vol.40 , pp. 141-152
    • Bárány, I.1
  • 4
    • 34250443845 scopus 로고
    • Convexity in crystallographical lattices
    • J.-P. Doignon, Convexity in crystallographical lattices, J. Geom. 3 (1973) 71-85.
    • (1973) J. Geom. , vol.3 , pp. 71-85
    • Doignon, J.-P.1
  • 5
    • 51249184185 scopus 로고
    • Supersaturated graphs and hypergraphs
    • P. Erdos, M. Simonovits, Supersaturated graphs and hypergraphs, Combinatorica 3 (1983) 181-192.
    • (1983) Combinatorica , vol.3 , pp. 181-192
    • Erdos, P.1    Simonovits, M.2
  • 6
    • 0000110831 scopus 로고
    • On a Gallai-type problem for lattices
    • T. Hausel, On a Gallai-type problem for lattices, Acta Math. Hungar. 66 (1995) 127-145.
    • (1995) Acta Math. Hungar. , vol.66 , pp. 127-145
    • Hausel, T.1
  • 7
    • 51249182570 scopus 로고
    • Intersection patterns of convex sets
    • G. Kalai, Intersection patterns of convex sets, Israel J. Math. 48 (1984) 161-174.
    • (1984) Israel J. Math. , vol.48 , pp. 161-174
    • Kalai, G.1
  • 9
    • 4243504434 scopus 로고
    • Problem 206
    • L. Lovász, Problem 206, Mat. Lapok 25 (1974) 181.
    • (1974) Mat. Lapok , vol.25 , pp. 181
    • Lovász, L.1
  • 10
    • 0000787058 scopus 로고
    • On the geometry and computational complexity of Radon partitions in the integer lattice
    • S. Onn, On the geometry and computational complexity of Radon partitions in the integer lattice, SIAM J. Discrete Math. 4 (3) (1991) 436-446.
    • (1991) SIAM J. Discrete Math. , vol.4 , Issue.3 , pp. 436-446
    • Onn, S.1
  • 11
    • 0017760374 scopus 로고
    • An observation on the structure of production sets with indivisibilities
    • H.E. Scarf, An observation on the structure of production sets with indivisibilities, Proc. Nat. Acad. Sci. U.S.A. 74 (1977) 3637-3641.
    • (1977) Proc. Nat. Acad. Sci. U.S.A. , vol.74 , pp. 3637-3641
    • Scarf, H.E.1
  • 12
    • 0002659146 scopus 로고
    • Relationships between Carathéodory, Helly, Radon and exchange numbers of convexity spaces
    • (3)
    • G. Sierksma, Relationships between Carathéodory, Helly, Radon and exchange numbers of convexity spaces, Nieuw Arch. Wisk. (3) 25 (2) (1977) 115-132.
    • (1977) Nieuw Arch. Wisk. , vol.25 , Issue.2 , pp. 115-132
    • Sierksma, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.