Families of vector spaces with r-wise L-intersections

Jimeng Xiao; Jiuqiang Liu; Shenggui Zhang

doi:10.1016/j.disc.2018.01.007

Families of vector spaces with r-wise L-intersections

Jimeng Xiao
, Jiuqiang Liu
, Shenggui Zhang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian
Eastern Michigan University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we extend the well-known Frankl–Ray-Chaudhuri–Wilson Theorem on vector spaces to r-wise L-intersecting families, in both modular version and non-modular version. We also provide an upper bound on L-intersecting families of vector spaces which improves the Frankl–Ray-Chaudhuri–Wilson Theorem.

Original language	English
Pages (from-to)	1041-1054
Number of pages	14
Journal	Discrete Mathematics
Volume	341
Issue number	4
DOIs	https://doi.org/10.1016/j.disc.2018.01.007
State	Published - Apr 2018

Keywords

Erdős–Ko–Rado Theorem
Frankl–Ray-Chaudhuri–Wilson Theorem
r-wise L-intersecting
Vector space

Access to Document

10.1016/j.disc.2018.01.007

Cite this

@article{1c28ae871a93491f83e4dda2269c46a8,

title = "Families of vector spaces with r-wise L-intersections",

abstract = "In this paper, we extend the well-known Frankl–Ray-Chaudhuri–Wilson Theorem on vector spaces to r-wise L-intersecting families, in both modular version and non-modular version. We also provide an upper bound on L-intersecting families of vector spaces which improves the Frankl–Ray-Chaudhuri–Wilson Theorem.",

keywords = "Erd{\H o}s–Ko–Rado Theorem, Frankl–Ray-Chaudhuri–Wilson Theorem, r-wise L-intersecting, Vector space",

author = "Jimeng Xiao and Jiuqiang Liu and Shenggui Zhang",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = apr,

doi = "10.1016/j.disc.2018.01.007",

language = "英语",

volume = "341",

pages = "1041--1054",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier B.V.",

number = "4",

}

TY - JOUR

T1 - Families of vector spaces with r-wise L-intersections

AU - Xiao, Jimeng

AU - Liu, Jiuqiang

AU - Zhang, Shenggui

PY - 2018/4

Y1 - 2018/4

N2 - In this paper, we extend the well-known Frankl–Ray-Chaudhuri–Wilson Theorem on vector spaces to r-wise L-intersecting families, in both modular version and non-modular version. We also provide an upper bound on L-intersecting families of vector spaces which improves the Frankl–Ray-Chaudhuri–Wilson Theorem.

AB - In this paper, we extend the well-known Frankl–Ray-Chaudhuri–Wilson Theorem on vector spaces to r-wise L-intersecting families, in both modular version and non-modular version. We also provide an upper bound on L-intersecting families of vector spaces which improves the Frankl–Ray-Chaudhuri–Wilson Theorem.

KW - Erdős–Ko–Rado Theorem

KW - Frankl–Ray-Chaudhuri–Wilson Theorem

KW - r-wise L-intersecting

KW - Vector space

UR - https://www.scopus.com/pages/publications/85041639347

U2 - 10.1016/j.disc.2018.01.007

DO - 10.1016/j.disc.2018.01.007

M3 - 文章

AN - SCOPUS:85041639347

SN - 0012-365X

VL - 341

SP - 1041

EP - 1054

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 4

ER -

Families of vector spaces with r-wise L-intersections

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this