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math.CO2011★ 5 cited
Subset sums in abelian groups
Eric Balandraud, Benjamin Girard, Simon Griffiths +1
Denoting by Sigma(S) the set of subset sums of a subset S of a finite abelian group G, we prove that |Sigma(S)| >= |S|(|S|+2)/4-1 whenever S is symmetric, |G| is odd and Sigma(S) i…
math.CO2011★ 5 cited
k-Sums in abelian groups
Benjamin Girard, Simon Griffiths, Yahya Ould Hamidoune
Given a finite subset A of an abelian group G, we study the set k \wedge A of all sums of k distinct elements of A. In this paper, we prove that |k \wedge A| >= |A| for all k in {2…