New inequalities for families without k pairwise disjoint members
arXiv:1804.03581 · doi:10.1016/j.jcta.2018.01.007
Abstract
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.