TY - JOUR
T1 - Almost Odd Random Sum-Free Sets
AU - Calkin, Neil J.
AU - Cameron, P. J.
PY - 1998/1/1
Y1 - 1998/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032346759&partnerID=8YFLogxK
U2 - 10.1017/S096354839700312X
DO - 10.1017/S096354839700312X
M3 - Article
AN - SCOPUS:0032346759
SN - 0963-5483
VL - 7
SP - 27
EP - 32
JO - Combinatorics Probability and Computing
JF - Combinatorics Probability and Computing
IS - 1
ER -