若干t型相交家族的多样性

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-07-31 DOI:10.4134/BKMS.B190301

C. Y. Ku, K. B. Wong

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引用次数: 0

摘要

令[n] ={1,2，…， n}和2[n]是[n]的所有子集的集合。对于一个族F∈2[n]，其多样性用div(F)表示，定义为div(F) = min x∈[n] {|F(x)|}，其中F(x) = {F∈F: x /∈F}。基本上，div(F)测量的是F到一个平凡相交族的距离，这个族被称为星形。本文考虑了t相交族的分集性的推广。

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On diversity of certain T-intersecting families

Let [n] = {1, 2, . . . , n} and 2[n] be the set of all subsets of [n]. For a family F ⊆ 2[n], its diversity, denoted by div(F), is defined to be div(F) = min x∈[n] {|F(x)|} , where F(x) = {F ∈ F : x / ∈ F}. Basically, div(F) measures how far F is from a trivial intersecting family, which is called a star. In this paper, we consider a generalization of diversity for t-intersecting family.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).