A note on blockers in posets

Details A note on blockers in posets A note on blockers in posets

2004-03-04

arxiv.org/abs/math/0403094v1

Mathematics

Combinatorics

Scientific paper

The blocker $A^{*}$ of an antichain $A$ in a finite poset $P$ is the set of elements minimal with the property of having with each member of $A$ a common predecessor. The following is done: 1. The posets $P$ for which $A^{**}=A$ for all antichains are characterized. 2. The blocker $A^*$ of a symmetric antichain in the partition lattice is characterized. 3. Connections with the question of finding minimal size blocking sets for certain set families are discussed.

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