AbstractSufficient conditions are established for the product of two ranked partially ordered sets to have the Sperner property. As a consequence, it is shown that the class of strongly Sperner rank-unimodal rank-symmetric partially ordered sets is closed under the operation of product. Counterexamples are given which preclude most small variations in the hypotheses or conclusions of the two main results
AbstractTwo duality theorems are proved about the direct product of two partial orders. First, the s...
If P is a partially ordered set, a k-family of P is a subset which contains no chains of length k + ...
AbstractThe theory of saturated chain partitions of partial orders is applied to the minimum unichai...
AbstractA brief proof is given of a generalization of Sperner's lemma to certain finite partially or...
AbstractA ranked poset P has the Sperner property if the sizes of the largest rank and of the larges...
AbstractMotivated by the problem of estimating the age (in generations) of a population that evolves...
We answer the following question: Let P and Q be graded posets having some property and let ffi be s...
AbstractBy introducing an inner product on the linear space of real valued functions on a finite par...
AbstractA combinatorial-linear algebraic condition sufficient for a ranked partially ordered set to ...
AbstractLet P be a ranked partially ordered set. An h-family is a subset of P such that no h + 1 ele...
In this paper, we investigate the properties of various relations, op-erators and upper sets on part...
It may be said of certain pairs of elements of a set that one element precedes the other. If the col...
AbstractIn this paper a new kind of product of ranked posets, the rankwise direct product is investi...
An equivalence on the family of subsets of an e-element set E is hereditary if |a| = |b| and |x{⊆a:x...
Aydinian H, Erdos PL. AZ-Identities and Strict 2-Part Sperner Properties of Product Posets. Order. 2...
AbstractTwo duality theorems are proved about the direct product of two partial orders. First, the s...
If P is a partially ordered set, a k-family of P is a subset which contains no chains of length k + ...
AbstractThe theory of saturated chain partitions of partial orders is applied to the minimum unichai...
AbstractA brief proof is given of a generalization of Sperner's lemma to certain finite partially or...
AbstractA ranked poset P has the Sperner property if the sizes of the largest rank and of the larges...
AbstractMotivated by the problem of estimating the age (in generations) of a population that evolves...
We answer the following question: Let P and Q be graded posets having some property and let ffi be s...
AbstractBy introducing an inner product on the linear space of real valued functions on a finite par...
AbstractA combinatorial-linear algebraic condition sufficient for a ranked partially ordered set to ...
AbstractLet P be a ranked partially ordered set. An h-family is a subset of P such that no h + 1 ele...
In this paper, we investigate the properties of various relations, op-erators and upper sets on part...
It may be said of certain pairs of elements of a set that one element precedes the other. If the col...
AbstractIn this paper a new kind of product of ranked posets, the rankwise direct product is investi...
An equivalence on the family of subsets of an e-element set E is hereditary if |a| = |b| and |x{⊆a:x...
Aydinian H, Erdos PL. AZ-Identities and Strict 2-Part Sperner Properties of Product Posets. Order. 2...
AbstractTwo duality theorems are proved about the direct product of two partial orders. First, the s...
If P is a partially ordered set, a k-family of P is a subset which contains no chains of length k + ...
AbstractThe theory of saturated chain partitions of partial orders is applied to the minimum unichai...