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

Published online by Cambridge University Press:  20 November 2018

Isma Bouchemakh  and
Kaci Fatma
Isma Bouchemakh
Affiliation:
L’IFORCE Laboratory, University of Sciences and Technology Houari Boumediene, Faculty of Mathematics, B.P. hz El-Alia, Bab-Ezzouar, 16111, Algiers, Algeria e-mail: ibouchemakh@usthb.dz
Kaci Fatma
Affiliation:
L’IFORCE Laboratory, Mohamed Khider University of Biskra, Department of Mathematics, 07000, Algeria e-mail: kaci_fatma2000@yahoo.fr
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Abstract

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Let $P$ be a finite $\text{N}$-free poset. We consider the hypergraph $H\left( P \right)$ whose vertices are the elements of $P$ and whose edges are the maximal intervals of $P$. We study the dual König property of $H\left( P \right)$ in two subclasses of $\text{N}$-free class.

Keywords

05C65posetintervalN-freehypergraphKönig propertydual König property
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 1 , 01 March 2017 , pp. 43 - 53
Copyright
Copyright © Canadian Mathematical Society 2017

References

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