AbstractLet P be a ranked partially ordered set. An h-family is a subset of P such that no h + 1 elements of the family lie on any single chain. P has the strong h-family property, if each maximal h-family in P is the union of h complete levels. Sufficient conditions for the strong h-family property are given
AbstractConsidering families of subsets of a given set. The families of maximal size are determined ...
Considering families of subsets of a given set. The families of maximal size are determined for (i) ...
AbstractA ranked poset P has the Sperner property if the sizes of the largest rank and of the larges...
AbstractAn h-family of a partially ordered set P is a subset of P such that no h + 1 elements of the...
AbstractAn [α, β)-normal poset with (α, β)-logarithmic concave Whitney numbers is a normal poset wit...
It may be said of certain pairs of elements of a set that one element precedes the other. If the col...
AbstractIf P is a partially ordered set, a k-family of P is a subset which contains no chains of len...
If P is a partially ordered set, a k-family of P is a subset which contains no chains of length k + ...
Abstract. We present a short proof that every maximal family of weakly separated subsets of [n] of c...
It is usually assumed that maximal elements are the best option for an agent. But there are situatio...
AbstractA subset A of a poset P is a q-antichain if it can be obtained as the union of at most q ant...
Abstract. An algorithm is described for finding the maximal weight chain between two points in a loc...
This article extends a paper of Abraham and Bonnet which generalised the famous Hausdorff characteri...
AbstractThe theory of saturated chain partitions of partial orders is applied to the minimum unichai...
Ahlswede R, Khachatrian LH. Splitting properties in partially ordered sets and set systems. In: Alth...
AbstractConsidering families of subsets of a given set. The families of maximal size are determined ...
Considering families of subsets of a given set. The families of maximal size are determined for (i) ...
AbstractA ranked poset P has the Sperner property if the sizes of the largest rank and of the larges...
AbstractAn h-family of a partially ordered set P is a subset of P such that no h + 1 elements of the...
AbstractAn [α, β)-normal poset with (α, β)-logarithmic concave Whitney numbers is a normal poset wit...
It may be said of certain pairs of elements of a set that one element precedes the other. If the col...
AbstractIf P is a partially ordered set, a k-family of P is a subset which contains no chains of len...
If P is a partially ordered set, a k-family of P is a subset which contains no chains of length k + ...
Abstract. We present a short proof that every maximal family of weakly separated subsets of [n] of c...
It is usually assumed that maximal elements are the best option for an agent. But there are situatio...
AbstractA subset A of a poset P is a q-antichain if it can be obtained as the union of at most q ant...
Abstract. An algorithm is described for finding the maximal weight chain between two points in a loc...
This article extends a paper of Abraham and Bonnet which generalised the famous Hausdorff characteri...
AbstractThe theory of saturated chain partitions of partial orders is applied to the minimum unichai...
Ahlswede R, Khachatrian LH. Splitting properties in partially ordered sets and set systems. In: Alth...
AbstractConsidering families of subsets of a given set. The families of maximal size are determined ...
Considering families of subsets of a given set. The families of maximal size are determined for (i) ...
AbstractA ranked poset P has the Sperner property if the sizes of the largest rank and of the larges...