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

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

2 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

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10.1016/j.disc.2018.01.007

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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.",

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KW - Frankl–Ray-Chaudhuri–Wilson Theorem

KW - r-wise L-intersecting

KW - Vector space

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JO - Discrete Mathematics

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ER -

Families of vector spaces with r-wise L-intersections

Abstract

Keywords

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