Author:
CALKIN NEIL J.,CAMERON P. J.
Abstract
We show that if S1 is a strongly complete sum-free
set of positive
integers, and if S0 is
a finite sum-free set, then, with positive probability, a random sum-free
set U contains
S0 and is contained in S0∪S1.
As a corollary we show that, with positive probability, 2 is the
only even element of a random sum-free set.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science
Cited by
4 articles.
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2. Symmetric complete sum-free sets in cyclic groups;Israel Journal of Mathematics;2018-08
3. Symmetric Complete Sum-free Sets in Cyclic Groups;Electronic Notes in Discrete Mathematics;2017-08
4. Additive Number Theory;Unsolved Problems in Number Theory;2004