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  • 1
    Electronic Resource
    Electronic Resource
    Convexly independent sets (1990)
    Springer
    Combinatorica 10 (1990), S. 195-202 
    Details
    ISSN: 1439-6912
    Keywords: 52 A 10 ; 05 A 17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A family of pairwise disjoint compact convex sets is called convexly independent, if none of its members is contained in the convex hull of the union of the other members of the family. The main result of the paper gives an upper bound for the maximum cardinalityh(k, n) of a family ℱ of mutually disjoint compact convex sets such that any subfamily of at mostk members of ℱ is convexly independent, but no subfamily of sizen is.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02123010
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