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k-wise Erdős-Ko-Rado Theorems: Stability Analysis and New Generalizations
intersection theorems stability matchings
2010/12/9
We consider the following generalization of the seminal Erdős-Ko-Rado theorem, due to Frankl [6]. For some k ≥ 2, let F be a k-wise intersecting family of r-subsets of an n element set X, i.e. fo...