10.1007/s10114-018-6577-0">
 

A common generalization to theorems on set systems with L-intersections

Document Type

Article

Publication Date

2018

Department/School

Mathematics

Publication Title

Acata Mathematica Sinica-English Series

Abstract

In this paper, we provide a common generalization to the well-known Erdös–Ko–Rado Theorem, Frankl–Wilson Theorem, Alon–Babai–Suzuki Theorem, and Snevily Theorem on set systems with L-intersections. As a consequence, we derive a result which strengthens substantially the well-known theorem on set systems with k-wise L-intersections by Füredi and Sudakov [J. Combin. Theory, Ser. A, 105, 143–159 (2004)]. We will also derive similar results on L-intersecting families of subspaces of an n-dimensional vector space over a finite field F q , where q is a prime power.

Link to Published Version

10.1007/s10114-018-6577-0

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