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math.CO2010
On cross-intersecting families of independent sets in graphs
Vikram Kamat
Let A_1,...,A_k be a collection of families of subsets of an n-element set. We say that this collection is cross-intersecting if for any i,j in [k] with i not equal to j, A in A_i…
math.CO2010
Stability anaylsis for k-wise intersecting families
Vikram Kamat
We consider the following generalization of the seminal Erdős-Ko-Rado theorem, due to Frankl. For some k>=2, let F be a k-wise intersecting family of r-subsets of an n element set…