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    Title      l  ON THE NUMBER OF B_h-SETS
    Author   l  DOMINGOS DELLAMONICA JR., YOSHIHARU KOHAYAKAWA, SANG JUNE LEE, VOJTECH RODL, AND WOJCIECH SAMOTIJ
    Date   l  2013-10-08
    Category   l  ASARC-Prepint-13-09
    Download    l 1381195645_0.235697.pdf  
Abstract. A set A of positive integers is a Bh-set if all the sums of the form a1+  +ah, with
a1; : : : ; ah 2 A and a1      ah, are distinct. We provide asymptotic bounds for the number
of Bh-sets of a given cardinality contained in the interval [n] = f1; : : : ; ng. As a consequence of
our results, better upper bounds for a problem of Cameron and Erd}os (1990) in the context of
Bh-sets are obtained. We use these results to estimate the maximum size of a Bh-set contained
in a typical (random) subset of [n] with a given cardinality.

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