A generalization of Graham's conjecture
The electronic journal of combinatorics, Tome 22 (2015) no. 4
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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.
DOI : 10.37236/5189
Classification : 11B50, 11B75, 20K01

Huanhuan Guan  1   ; Pingzhi Yuan  2   ; Xiangneng Zeng  3

1 School of Mathematic and Statistics, Guizhou University of Finance and Economics
2 School of Mathematics, South China Normal University
3 School of Mathematics, Sun Yat-sen University
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     author = {Huanhuan Guan and Pingzhi Yuan and Xiangneng Zeng},
     title = {A generalization of {Graham's} conjecture},
     journal = {The electronic journal of combinatorics},
     year = {2015},
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     number = {4},
     doi = {10.37236/5189},
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Huanhuan Guan; Pingzhi Yuan; Xiangneng Zeng. A generalization of Graham's conjecture. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5189

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