Title
Shadows and intersections in vector spaces
Abstract
We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lovasz. We apply this result to extend Frankl's theorem on r-wise intersecting families to vector spaces. In particular, we obtain a short new proof of the Erdos-Ko-Rado theorem for vector spaces.
Year
DOI
Venue
2010
10.1016/j.jcta.2009.10.010
J. Comb. Theory, Ser. A
Keywords
Field
DocType
r-wise intersecting family,vector space,short new proof,vector space analog,erdos-ko-rado theorem,intersecting family,shadow,erdős–ko–rado,kruskal–katona
Shadow,Discrete mathematics,Vector space,Combinatorics,Algebra,Mathematics
Journal
Volume
Issue
ISSN
117
8
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
16
1.13
7
Authors
2
Name
Order
Citations
PageRank
Ameera Chowdhury1364.28
Balázs Patkós28521.60