Fractional L-intersecting families

被引：0

作者：

Balachandran, Niranjan ^{[1
]}

Mathew, Rogers ^{[2
]}

Mishra, Tapas Kumar ^{[3
]}

机构：

[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

[2] Indian Inst Technol, Dept Comp Sci & Engn, Kharagpur 721302, W Bengal, India

[3] Natl Inst Technol, Dept Comp Sci & Engn, Rourkela 769008, India

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2019年 / 26卷 / 02期

关键词：

MATRICES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L = {a(1)/b(1), . . . , a(s)/b(s)} as bs g, where for every i is an element of [s], a(i)/b(i) is an element of [0, 1) is an irreducible fraction. Let F = {A(1), . .. , A(m)} be a family of subsets of [n]. We say F is a fractional L-intersecting family if for every distinct i, j is an element of [m], there exists an a/b is an element of L such that vertical bar A(i) boolean AND A(j)vertical bar is an element of {a/b vertical bar A(i)vertical bar, a/b vertical bar A(j)vertical bar}. In this paper, we introduce and study the notion of fractional L-intersecting families.

引用

页数：12

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