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# On the Dual König Property of the Order-interval Hypergraph of Two Classes of N-free Posets

Published:2016-11-08
Printed: Mar 2017
• Isma Bouchemakh,
L'IFORCE Laboratory, University of Sciences and Technology Houari Boumediene, Faculty of Mathematics, B.P. 32 El-Alia, Bab-Ezzouar, 16111, Algiers, Algeria
• Kaci Fatma,
L'IFORCE Laboratory, Mohamed Khider University of Biskra, , Department of Mathematics, 07000, Algeria
 Format: LaTeX MathJax PDF

## Abstract

Let $P$ be a finite N-free poset. We consider the hypergraph $\mathcal{H}(P)$ whose vertices are the elements of $P$ and whose edges are the maximal intervals of $P$. We study the dual König property of $\mathcal{H}(P)$ in two subclasses of N-free class.
 Keywords: poset, interval, N-free, hypergraph, König property, dual König property
 MSC Classifications: 05C65 - Hypergraphs

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