On subsequence sums of a zero-sum free sequence. II.
The electronic journal of combinatorics, Tome 15 (2008)
Let $G$ be an additive finite abelian group with exponent $\exp (G) = n$. For a sequence $S$ over $G$, let f$(S)$ denote the number of non-zero group elements which can be expressed as a sum of a nontrivial subsequence of $S$. We show that for every zero-sum free sequence $S$ over $G$ of length $|S| = n+1$ we have f$(S) \ge 3n-1$.
@article{10_37236_841,
author = {Weidong Gao and Yuanlin Li and Jiangtao Peng and Fang Sun},
title = {On subsequence sums of a zero-sum free sequence. {II.}},
journal = {The electronic journal of combinatorics},
year = {2008},
volume = {15},
doi = {10.37236/841},
zbl = {1207.11025},
url = {http://geodesic.mathdoc.fr/articles/10.37236/841/}
}
Weidong Gao; Yuanlin Li; Jiangtao Peng; Fang Sun. On subsequence sums of a zero-sum free sequence. II.. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/841
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