On the number of distinct differences in an intersecting family

被引:0
|
作者
Frankl, Peter [1 ,2 ]
机构
[1] Renyi Inst, Budapest, Hungary
[2] MIPT, Moscow, Russia
关键词
Finite sets; Intersecting family; Setwise difference;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a family F of subsets define F \ F = {F \ F' : F, F' is an element of F}. The family F is called intersecting if F boolean AND F' not equal theta for all F, F' is an element of F. We prove best possible upper bounds for vertical bar F \ F vertical bar in the case that F is intersecting. (c) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] On The Number of Distinct Dot Products
    Jozsef, Borbely
    2022 IEEE 5TH INTERNATIONAL CONFERENCE AND WORKSHOP OBUDA ON ELECTRICAL AND POWER ENGINEERING, CANDO-EPE, 2022, : 125 - 129
  • [42] On the number of distinct multinomial coefficients
    Andrews, GE
    Knopfmacher, A
    Zimmermann, B
    JOURNAL OF NUMBER THEORY, 2006, 118 (01) : 15 - 30
  • [43] In vitro activity differences between proteins of the ADF/cofilin family define two distinct subgroups
    Chen, H
    Bernstein, BW
    Sneider, JM
    Boyle, JA
    Minamide, LS
    Bamburg, JR
    BIOCHEMISTRY, 2004, 43 (22) : 7127 - 7142
  • [44] Intersecting work and family: The influence of relational beliefs and behaviors on work-family integration
    Polk, Denise M.
    JOURNAL OF MANAGEMENT & ORGANIZATION, 2008, 14 (04) : 345 - 366
  • [45] On the number of popular differences
    Konyagin, Sergei V.
    Lev, Vsevolod F.
    ISRAEL JOURNAL OF MATHEMATICS, 2010, 176 (01) : 269 - 283
  • [46] On the number of sums and differences
    Hennecart, F
    Robert, G
    Yudin, A
    ASTERISQUE, 1999, (258) : 173 - 178
  • [47] INTERSECTING LINE SEGMENTS IN PARALLEL WITH AN OUTPUT-SENSITIVE NUMBER OF PROCESSORS
    GOODRICH, MT
    SIAM JOURNAL ON COMPUTING, 1991, 20 (04) : 737 - 755
  • [48] On the number of popular differences
    Sergei V. Konyagin
    Vsevolod F. Lev
    Israel Journal of Mathematics, 2010, 176 : 269 - 283
  • [49] ON THE NUMBER OF SUMS AND DIFFERENCES
    RUZSA, IZ
    ACTA MATHEMATICA HUNGARICA, 1992, 59 (3-4) : 439 - 447
  • [50] Intersecting perspectives: Advocating for sustainable family meals across generations
    Knobl, Vanessa
    Mata, Jutta
    APPETITE, 2024, 201