A Generalization of Graham’s Conjecture

Huanhuan Guan, Pingzhi Yuan, Xiangneng Zeng

Abstract


Let $G$ be a finite Abelian group of order $|G|=n$, and let $S=g_1\cdot\ldots\cdot g_{n-1}$ be a sequence over $G$ such that all nonempty zero-sum subsequences of $S$ have the same length. In this paper, we completely determine the structure of these sequences.

 


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