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Gluing posets and the dichotomy of poset saturation numbers

open access: yesMathematika
Abstract Given a finite poset , we say that a family of subsets of is ‐saturated if does not contain an induced copy of , but adding any other set to creates an induced copy of . The saturation number of is the size of the smallest ‐saturated family with ground set .
Maria‐Romina Ivan, Sean Jaffe
openaire   +2 more sources

The center of a poset [PDF]

open access: yesPacific Journal of Mathematics, 1974
Gudder, S., Haskins, L.
openaire   +3 more sources

On poset matroids

open access: yes, 2004
The theory of poset matroids is the extension of the theory of matroids developed by replacing the underlying set of a matroid by a partially ordered set.
Ng, Hwee Ming
core  

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