Title

On canonical antichains

Document Type

Article

Publication Date

3-28-2009

Abstract

An antichain A of a well-founded quasi-order Q is canonical if for every ideal F of Q, F has an infinite antichain if and only if F ∩ A is infinite. In this paper we characterize the obstructions to having a canonical antichain. As an application we show that, under the induced subgraph relation, the class of finite graphs does not have a canonical antichain. In contrast, this class does have a canonical antichain with respect to the subgraph relation. © 2008 Elsevier B.V. All rights reserved.

Publication Source (Journal or Book title)

Discrete Mathematics

First Page

1123

Last Page

1134

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