ACTA issues

The equal-sum-free subset problem

Gábor Bacsó, Zsolt Tuza

Acta Sci. Math. (Szeged) 86:1-2(2020), 73-79

Abstract. Given a set $W$ of positive integers, a set $I\subseteq W$ is \emph {independent} if all the partial sums in $I$ are distinct. We prove estimates on the maximum size of an independent set within a set of $n$ integers.

DOI: 10.14232/actasm-019-871-5

AMS Subject Classification (1991): 11B75, 05D99

Keyword(s): equal subset sums, sum-independence of sets

received 21.6.2019, accepted 9.10.2019. (Registered under 621/2019.)