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11

JCT
2010

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Shadows and intersections in vector spaces

13 years 2 months ago

Shadows and intersections in vector spaces

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We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lov´asz. 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 Erd˝osKo-Rado theorem for vector spaces.

Ameera Chowdhury, Balázs Patkós

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JCT 2010 | R-wise Intersecting Families | Vector Space Analog | Vector Spaces |

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Added	28 Jan 2011
Updated	28 Jan 2011
Type	Journal
Year	2010
Where	JCT
Authors	Ameera Chowdhury, Balázs Patkós

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