Description Reduction for Restricted Sets of (0,1) Matrices

Abstract

Any set system can be represented as an n -cube vertices set. Restricted sets of n -cube weighted subsets are considered. The problem considered is in simple description of all set of partitioning characteristic vectors. A smaller generating sets are known as “boundary” and ”steepest” sets and finally we prove that the intersection of these two sets is also generating for the partitioning characteristic vectors.