Long sequences having no two nonempty zero-sum subsequences of distinct lengths

被引:5
|
作者
Gao, Weidong [1 ]
Hong, Siao [1 ]
Li, Xue [1 ]
Yin, Qiuyu [1 ]
Zhao, Pingping [2 ]
机构
[1] Nankai Univ, Ctr Combinator, LPMC, Tianjin 300071, Peoples R China
[2] Tianjin Chengjian Univ, Sch Sci, Tianjin 300384, Peoples R China
基金
美国国家科学基金会;
关键词
zero-sum sequence; zero-sum invariant; inverse problem; abelian group;
D O I
10.4064/aa190723-10-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:329 / 347
页数:19
相关论文
共 50 条
  • [11] On the number of zero-sum subsequences
    Cao, Hui-Qin
    Sun, Zhi-Wei
    DISCRETE MATHEMATICS, 2007, 307 (13) : 1687 - 1691
  • [12] Zero-sum subsequences in bounded-sum {-1,1}-sequences
    Caro, Yair
    Hansberg, Adriana
    Montejano, Amanda
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 161 : 387 - 419
  • [13] On zero-sum subsequences of restricted size
    Gao, WD
    JOURNAL OF NUMBER THEORY, 1996, 61 (01) : 97 - 102
  • [14] On zero-sum subsequences of prescribed length
    Han, Dongchun
    Zhang, Hanbin
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (01) : 167 - 191
  • [15] On the number of weighted zero-sum subsequences
    A. Lemos
    B. K. Moriya
    A. O. Moura
    A. T. Silva
    Periodica Mathematica Hungarica, 2023, 87 : 366 - 373
  • [16] On the number of weighted zero-sum subsequences
    Lemos, A.
    Moriya, B. K.
    Moura, A. O.
    Silva, A. T.
    PERIODICA MATHEMATICA HUNGARICA, 2023, 87 (02) : 366 - 373
  • [17] Distinct length modular zero-sum subsequences: A proof of Graham's conjecture
    Gao, Weidong
    Hamidoune, Yahya Ould
    Wang, Guoqing
    JOURNAL OF NUMBER THEORY, 2010, 130 (06) : 1425 - 1431
  • [18] On zero-sum subsequences of restricted size II
    Gao, WD
    DISCRETE MATHEMATICS, 2003, 271 (1-3) : 51 - 59
  • [19] ZERO-SUM SUBSEQUENCES IN ABELIAN NONCYCLIC GROUPS
    CARO, Y
    ISRAEL JOURNAL OF MATHEMATICS, 1995, 92 (1-3) : 221 - 233
  • [20] On the number of fully weighted zero-sum subsequences
    Lemos, Abilio
    Moura, Allan de Oliveira
    Silva, Anderson T.
    Moriya, B. K.
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (05) : 1051 - 1057