3 research outputs found
New results related to a conjecture of Manickam and Singhi
In 1998 Manickam and Singhi conjectured that for every positive integer
and every , every set of real numbers whose sum is nonnegative
contains at least subsets of size whose sums are
nonnegative. In this paper we establish new results related to this conjecture.
We also prove that the conjecture of Manickam and Singhi does not hold for