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  • 05 B 40  (1)
  • 68 R 05  (1)
  • Springer  (2)
  • Periodicals Archive Online (PAO)
  • 1990-1994  (2)
  • 1985-1989
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  • Springer  (2)
  • Periodicals Archive Online (PAO)
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  • 1990-1994  (2)
  • 1985-1989
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  • 1
    Electronic Resource
    Electronic Resource
    Balancing extensions via Brunn-Minkowski (1991)
    Springer
    Combinatorica 11 (1991), S. 363-368 
    Details
    ISSN: 1439-6912
    Keywords: 06 A 07 ; 52 A 38 ; 68 P 10 ; 68 R 05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We give a simple proof, based on the Brunn-Minkowski Theorem, of Theorem. Inany finite poset P not a total order there are elementsx, y such that $$1/2e〈 p(x〈 y)〈 1 - 1/2e.$$ A similar result was independently found by A. Karzanov and L. G. Khachiyan
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01275670
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  • 2
    Electronic Resource
    Electronic Resource
    On a problem of Erdős and Lovász: Random lines in a projective plane (1992)
    Springer
    Combinatorica 12 (1992), S. 417-423 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 40 ; 05 C 65 ; 05 D 05 ; 51 E 15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letn(k) be the least size of an intersecting family ofk-sets with cover numberk, and let ℝ k denote any projective plane of orderk−1. Theorem There is a constant A such that ifH is a random set ofm ≥Aklogk lines from ℝ k then Pr(τH〈)→0(k→∞). Corollary If there exists a ℝ k thenn(k)=O(klogk). These statements were conjectured by P. Erdős and L. Lovász in 1973.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01305234
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    Paper (German National Licenses)
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