Isma Bouchemakh
On the K\"{o}nig and the dual K\"{o}nig property of order-interval hypergraphs of series-parallel posets
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. [56], [3]-[8]([2002])

MSC:

05C65 Hypergraphs

06A07 Combinatorics of partially ordered sets

Abstract: Let $P$ be a finite poset. We consider the hypergraph ${\cal H}(P)$
whose vertices are the elements of $P$ and whose edges are the maximal
intervals of $P.$ We prove the K\"{o}nig and the dual K\"{o}nig property of $%
{\cal H}(P)$ for the class of series-parallel posets.
Keywords: Hypergraphs, Combinatorics of partially ordered sets