Refinements of Alon-Babai-Suzuki-type intersection theorems via non-shadows and binomial support

Jiangdong Ai, Mingyu Liu

We prove a multilevel non-shadow refinement of the Alon--Babai--Suzuki (ABS) nonuniform restricted-intersection theorem. Let $K=\{k_1,\dots ,k_r\}$ and let $L$ be a set with $|L|=s$…