Almost Odd Random Sum-Free Sets

Neil J. Calkin*, P. J. Cameron

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 ∪ Si. As a corollary we show that, with positive probability, 2 is the only even element of a random sum-free set.

Original languageEnglish
Pages (from-to)27-32
Number of pages6
JournalCombinatorics Probability and Computing
Issue number1
Publication statusPublished - 1 Jan 1998


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