International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 12, Pages 725-729
doi:10.1155/S0161171202108088

A note on operators of deletion and contraction for antichains

Abstract

The operators of deletion and contraction for clutters are generalized to those for antichains of finite bounded posets. A generalization of the result by Seymour (1976), describing the relationship between the operators of deletion, contraction, and the blocker map, is considered as a comparison in the lattice of antichains of a poset.