Characterizing profiles of k-families in additive Macaulay posets

摘要

A subset of a poset is a k-family if there is no chain consisting of k+1 of its elements. A subset of a ranked poser consisting of p(i) elements of rank i, i=0, 1,..., R is said to have profile p(0), p(1), ..., p(R). A characterization is given for profiles of k-families in additive Macaulay posets. (C) 1997 Academic Press.