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arxiv: 1804.03581 · v1 · pith:4GKO22BQnew · submitted 2018-04-10 · 🧮 math.CO · cs.DM

New inequalities for families without k pairwise disjoint members

classification 🧮 math.CO cs.DM
keywords familiesdisjointinequalitiesmemberspairwisewithoutappliedbest
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Some best possible inequalities are established for k-partition-free families (cf. Definition 1) and they are applied to prove a sharpening of a classical result of Kleitman concerning families without k pairwise disjoint members.

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