Notes on sum-free and related sets

被引:16
|
作者
Cameron, PJ
Erdos, P
机构
[1] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
[2] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary
来源
COMBINATORICS PROBABILITY & COMPUTING | 1999年 / 8卷 / 1-2期
关键词
D O I
10.1017/S0963548398003435
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Our main topic is the number of subsets of [1,n] which are maximal with respect to some condition such as being sum-free, having no number dividing another, etc. We also investigate some related questions.
引用
收藏
页码:95 / 107
页数:13
相关论文
共 50 条
  • [1] Sum-free sets and related sets
    Bilu, Y
    COMBINATORICA, 1998, 18 (04) : 449 - 459
  • [2] Sum-Free Sets and Related Sets
    Yuri Bilu
    Combinatorica, 1998, 18 : 449 - 459
  • [3] On the regular sum-free sets
    Wen, Zhi-Xiong
    Zhang, Jie-Meng
    Wu, Wen
    EUROPEAN JOURNAL OF COMBINATORICS, 2015, 49 : 42 - 56
  • [4] ON THE NUMBER OF SUM-FREE SETS
    CALKIN, NJ
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1990, 22 : 141 - 144
  • [5] SUM-FREE SETS OF INTEGERS
    ABBOTT, HL
    WANG, ETH
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 67 (01) : 11 - 16
  • [6] SUM-FREE SETS OF INTEGERS WITH A FORBIDDEN SUM
    Haviv, Ishay
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2019, 33 (01) : 402 - 424
  • [7] On the density of universal sum-free sets
    Schoen, T
    COMBINATORICS PROBABILITY & COMPUTING, 1999, 8 (03): : 277 - 280
  • [8] Sum-free sets in abelian groups
    Lev, VF
    Luczak, T
    Schoen, T
    ISRAEL JOURNAL OF MATHEMATICS, 2001, 125 (1) : 347 - 367
  • [9] ON SUM-FREE SETS MODULO p
    Deshouillers, Jean-Marc
    Freiman, Gregory A.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2006, 35 (01) : 51 - 59
  • [10] Sum-free sets in abelian groups
    Ben Green
    Imre Z. Ruzsa
    Israel Journal of Mathematics, 2005, 147 : 157 - 188