A Generalization of Graham’s Conjecture

  • Huanhuan Guan School of Mathematic and Statistics, Guizhou University of Finance and Economics
  • Pingzhi Yuan School of Mathematics, South China Normal University
  • Xiangneng Zeng School of Mathematics, Sun Yat-sen University

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.

 

Published
2015-10-16
Article Number
P4.7